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Finding the Fourth Proportional to 871,683, 1,202,646.06 and 531,981.24

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Solution

The fourth proportional to 871,683, 1,202,646.06 and 531,981.24 is: 733,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,683 : 1,202,646.06 = 531,981.24 : x
  2. Step 2: Convert to fraction form
    871,683/1,202,646.06 = 531,981.24/x
  3. Step 3: Cross multiply
    871,683x = 1,202,646.06 × 531,981.24
  4. Step 4: Simplify right side
    871,683x = 639,785,142,279.91
  5. Step 5: Solve for x
    x = 639,785,142,279.91/871,683
  6. Step 6: Final answer
    x = 733,965.38

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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.