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Finding the Fourth Proportional to 523,737.78, 785,463.30 and 144,567.87

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Solution

The fourth proportional to 523,737.78, 785,463.30 and 144,567.87 is: 216,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,737.78 : 785,463.30 = 144,567.87 : x
  2. Step 2: Convert to fraction form
    523,737.78/785,463.30 = 144,567.87/x
  3. Step 3: Cross multiply
    523,737.78x = 785,463.30 × 144,567.87
  4. Step 4: Simplify right side
    523,737.78x = 113,552,756,244.17
  5. Step 5: Solve for x
    x = 113,552,756,244.17/523,737.78
  6. Step 6: Final answer
    x = 216,812.23

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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.