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Finding the Fourth Proportional to 657,740.40, 987,071.40 and 421,657.20

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Solution

The fourth proportional to 657,740.40, 987,071.40 and 421,657.20 is: 632,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,740.40 : 987,071.40 = 421,657.20 : x
  2. Step 2: Convert to fraction form
    657,740.40/987,071.40 = 421,657.20/x
  3. Step 3: Cross multiply
    657,740.40x = 987,071.40 × 421,657.20
  4. Step 4: Simplify right side
    657,740.40x = 416,205,762,724.08
  5. Step 5: Solve for x
    x = 416,205,762,724.08/657,740.40
  6. Step 6: Final answer
    x = 632,781.20

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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.