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Finding the Fourth Proportional to 457,624.20, 686,501.10 and 142,048.20

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Solution

The fourth proportional to 457,624.20, 686,501.10 and 142,048.20 is: 213,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,624.20 : 686,501.10 = 142,048.20 : x
  2. Step 2: Convert to fraction form
    457,624.20/686,501.10 = 142,048.20/x
  3. Step 3: Cross multiply
    457,624.20x = 686,501.10 × 142,048.20
  4. Step 4: Simplify right side
    457,624.20x = 97,516,245,553.02
  5. Step 5: Solve for x
    x = 97,516,245,553.02/457,624.20
  6. Step 6: Final answer
    x = 213,092.41

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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.