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Finding the Fourth Proportional to 413,253.60, 619,639.52 and 160,238.50

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Solution

The fourth proportional to 413,253.60, 619,639.52 and 160,238.50 is: 240,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,253.60 : 619,639.52 = 160,238.50 : x
  2. Step 2: Convert to fraction form
    413,253.60/619,639.52 = 160,238.50/x
  3. Step 3: Cross multiply
    413,253.60x = 619,639.52 × 160,238.50
  4. Step 4: Simplify right side
    413,253.60x = 99,290,107,225.52
  5. Step 5: Solve for x
    x = 99,290,107,225.52/413,253.60
  6. Step 6: Final answer
    x = 240,264.35

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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.