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Finding the Fourth Proportional to 413,737.47, 620,593.74 and 114,236.28

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Solution

The fourth proportional to 413,737.47, 620,593.74 and 114,236.28 is: 171,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,737.47 : 620,593.74 = 114,236.28 : x
  2. Step 2: Convert to fraction form
    413,737.47/620,593.74 = 114,236.28/x
  3. Step 3: Cross multiply
    413,737.47x = 620,593.74 × 114,236.28
  4. Step 4: Simplify right side
    413,737.47x = 70,894,320,248.89
  5. Step 5: Solve for x
    x = 70,894,320,248.89/413,737.47
  6. Step 6: Final answer
    x = 171,350.98

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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.