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Finding the Fourth Proportional to 487,153.86, 725,593.88 and 465,296.50

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Solution

The fourth proportional to 487,153.86, 725,593.88 and 465,296.50 is: 693,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,153.86 : 725,593.88 = 465,296.50 : x
  2. Step 2: Convert to fraction form
    487,153.86/725,593.88 = 465,296.50/x
  3. Step 3: Cross multiply
    487,153.86x = 725,593.88 × 465,296.50
  4. Step 4: Simplify right side
    487,153.86x = 337,616,292,785.42
  5. Step 5: Solve for x
    x = 337,616,292,785.42/487,153.86
  6. Step 6: Final answer
    x = 693,038.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.