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Finding the Fourth Proportional to 411,901.60, 616,737.33 and 291,463.51

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Solution

The fourth proportional to 411,901.60, 616,737.33 and 291,463.51 is: 436,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,901.60 : 616,737.33 = 291,463.51 : x
  2. Step 2: Convert to fraction form
    411,901.60/616,737.33 = 291,463.51/x
  3. Step 3: Cross multiply
    411,901.60x = 616,737.33 × 291,463.51
  4. Step 4: Simplify right side
    411,901.60x = 179,756,426,949.83
  5. Step 5: Solve for x
    x = 179,756,426,949.83/411,901.60
  6. Step 6: Final answer
    x = 436,406.24

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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.