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Finding the Fourth Proportional to 413,252.60, 619,638.02 and 160,237.50

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Solution

The fourth proportional to 413,252.60, 619,638.02 and 160,237.50 is: 240,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,252.60 : 619,638.02 = 160,237.50 : x
  2. Step 2: Convert to fraction form
    413,252.60/619,638.02 = 160,237.50/x
  3. Step 3: Cross multiply
    413,252.60x = 619,638.02 × 160,237.50
  4. Step 4: Simplify right side
    413,252.60x = 99,289,247,229.75
  5. Step 5: Solve for x
    x = 99,289,247,229.75/413,252.60
  6. Step 6: Final answer
    x = 240,262.85

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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.