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Finding the Fourth Proportional to 665,698.60, 998,547.90 and 413,756.20

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Solution

The fourth proportional to 665,698.60, 998,547.90 and 413,756.20 is: 620,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,698.60 : 998,547.90 = 413,756.20 : x
  2. Step 2: Convert to fraction form
    665,698.60/998,547.90 = 413,756.20/x
  3. Step 3: Cross multiply
    665,698.60x = 998,547.90 × 413,756.20
  4. Step 4: Simplify right side
    665,698.60x = 413,155,384,621.98
  5. Step 5: Solve for x
    x = 413,155,384,621.98/665,698.60
  6. Step 6: Final answer
    x = 620,634.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.