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Finding the Fourth Proportional to 614,902.98, 922,634.70 and 315,593.72

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Solution

The fourth proportional to 614,902.98, 922,634.70 and 315,593.72 is: 473,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,902.98 : 922,634.70 = 315,593.72 : x
  2. Step 2: Convert to fraction form
    614,902.98/922,634.70 = 315,593.72/x
  3. Step 3: Cross multiply
    614,902.98x = 922,634.70 × 315,593.72
  4. Step 4: Simplify right side
    614,902.98x = 291,177,717,174.08
  5. Step 5: Solve for x
    x = 291,177,717,174.08/614,902.98
  6. Step 6: Final answer
    x = 473,534.41

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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.