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Finding the Fourth Proportional to 475,024.64, 712,519.68 and 142,592

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Solution

The fourth proportional to 475,024.64, 712,519.68 and 142,592 is: 213,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,024.64 : 712,519.68 = 142,592 : x
  2. Step 2: Convert to fraction form
    475,024.64/712,519.68 = 142,592/x
  3. Step 3: Cross multiply
    475,024.64x = 712,519.68 × 142,592
  4. Step 4: Simplify right side
    475,024.64x = 101,599,606,210.56
  5. Step 5: Solve for x
    x = 101,599,606,210.56/475,024.64
  6. Step 6: Final answer
    x = 213,882.81

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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.