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Finding the Fourth Proportional to 447,140.77, 616,872.16 and 253,507.70

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Solution

The fourth proportional to 447,140.77, 616,872.16 and 253,507.70 is: 349,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,140.77 : 616,872.16 = 253,507.70 : x
  2. Step 2: Convert to fraction form
    447,140.77/616,872.16 = 253,507.70/x
  3. Step 3: Cross multiply
    447,140.77x = 616,872.16 × 253,507.70
  4. Step 4: Simplify right side
    447,140.77x = 156,381,842,475.63
  5. Step 5: Solve for x
    x = 156,381,842,475.63/447,140.77
  6. Step 6: Final answer
    x = 349,737.38

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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.