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Finding the Fourth Proportional to 409,098.11, 613,441.71 and 238,374.95

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Solution

The fourth proportional to 409,098.11, 613,441.71 and 238,374.95 is: 357,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,098.11 : 613,441.71 = 238,374.95 : x
  2. Step 2: Convert to fraction form
    409,098.11/613,441.71 = 238,374.95/x
  3. Step 3: Cross multiply
    409,098.11x = 613,441.71 × 238,374.95
  4. Step 4: Simplify right side
    409,098.11x = 146,229,133,881.96
  5. Step 5: Solve for x
    x = 146,229,133,881.96/409,098.11
  6. Step 6: Final answer
    x = 357,442.71

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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.