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Finding the Fourth Proportional to 665,709.60, 998,564.40 and 413,767.20

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Solution

The fourth proportional to 665,709.60, 998,564.40 and 413,767.20 is: 620,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,709.60 : 998,564.40 = 413,767.20 : x
  2. Step 2: Convert to fraction form
    665,709.60/998,564.40 = 413,767.20/x
  3. Step 3: Cross multiply
    665,709.60x = 998,564.40 × 413,767.20
  4. Step 4: Simplify right side
    665,709.60x = 413,173,195,807.68
  5. Step 5: Solve for x
    x = 413,173,195,807.68/665,709.60
  6. Step 6: Final answer
    x = 620,650.80

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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.