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Finding the Fourth Proportional to 415,002.42, 571,497.35 and 360,529.73

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Solution

The fourth proportional to 415,002.42, 571,497.35 and 360,529.73 is: 496,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,002.42 : 571,497.35 = 360,529.73 : x
  2. Step 2: Convert to fraction form
    415,002.42/571,497.35 = 360,529.73/x
  3. Step 3: Cross multiply
    415,002.42x = 571,497.35 × 360,529.73
  4. Step 4: Simplify right side
    415,002.42x = 206,041,780,631.08
  5. Step 5: Solve for x
    x = 206,041,780,631.08/415,002.42
  6. Step 6: Final answer
    x = 496,483.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.