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Finding the Fourth Proportional to 413,242.60, 619,623.05 and 160,227.50

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Solution

The fourth proportional to 413,242.60, 619,623.05 and 160,227.50 is: 240,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,242.60 : 619,623.05 = 160,227.50 : x
  2. Step 2: Convert to fraction form
    413,242.60/619,623.05 = 160,227.50/x
  3. Step 3: Cross multiply
    413,242.60x = 619,623.05 × 160,227.50
  4. Step 4: Simplify right side
    413,242.60x = 99,280,651,442.74
  5. Step 5: Solve for x
    x = 99,280,651,442.74/413,242.60
  6. Step 6: Final answer
    x = 240,247.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.