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Finding the Fourth Proportional to 562,706.38, 842,064.54 and 496,275.85

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Solution

The fourth proportional to 562,706.38, 842,064.54 and 496,275.85 is: 742,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,706.38 : 842,064.54 = 496,275.85 : x
  2. Step 2: Convert to fraction form
    562,706.38/842,064.54 = 496,275.85/x
  3. Step 3: Cross multiply
    562,706.38x = 842,064.54 × 496,275.85
  4. Step 4: Simplify right side
    562,706.38x = 417,896,295,343.36
  5. Step 5: Solve for x
    x = 417,896,295,343.36/562,706.38
  6. Step 6: Final answer
    x = 742,654.27

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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.