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Finding the Fourth Proportional to 413,244.45, 619,866.68 and 147,013.65

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Solution

The fourth proportional to 413,244.45, 619,866.68 and 147,013.65 is: 220,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,244.45 : 619,866.68 = 147,013.65 : x
  2. Step 2: Convert to fraction form
    413,244.45/619,866.68 = 147,013.65/x
  3. Step 3: Cross multiply
    413,244.45x = 619,866.68 × 147,013.65
  4. Step 4: Simplify right side
    413,244.45x = 91,128,862,405.11
  5. Step 5: Solve for x
    x = 91,128,862,405.11/413,244.45
  6. Step 6: Final answer
    x = 220,520.48

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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.