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Finding the Fourth Proportional to 664,465.80, 996,698.70 and 465,400.20

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Solution

The fourth proportional to 664,465.80, 996,698.70 and 465,400.20 is: 698,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,465.80 : 996,698.70 = 465,400.20 : x
  2. Step 2: Convert to fraction form
    664,465.80/996,698.70 = 465,400.20/x
  3. Step 3: Cross multiply
    664,465.80x = 996,698.70 × 465,400.20
  4. Step 4: Simplify right side
    664,465.80x = 463,863,774,319.74
  5. Step 5: Solve for x
    x = 463,863,774,319.74/664,465.80
  6. Step 6: Final answer
    x = 698,100.30

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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.