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Finding the Fourth Proportional to 532,831.11, 735,356.88 and 291,149.50

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Solution

The fourth proportional to 532,831.11, 735,356.88 and 291,149.50 is: 401,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,831.11 : 735,356.88 = 291,149.50 : x
  2. Step 2: Convert to fraction form
    532,831.11/735,356.88 = 291,149.50/x
  3. Step 3: Cross multiply
    532,831.11x = 735,356.88 × 291,149.50
  4. Step 4: Simplify right side
    532,831.11x = 214,098,788,508.05
  5. Step 5: Solve for x
    x = 214,098,788,508.05/532,831.11
  6. Step 6: Final answer
    x = 401,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.