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Finding the Fourth Proportional to 475,243.20, 712,864.80 and 142,819.20

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Solution

The fourth proportional to 475,243.20, 712,864.80 and 142,819.20 is: 214,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,243.20 : 712,864.80 = 142,819.20 : x
  2. Step 2: Convert to fraction form
    475,243.20/712,864.80 = 142,819.20/x
  3. Step 3: Cross multiply
    475,243.20x = 712,864.80 × 142,819.20
  4. Step 4: Simplify right side
    475,243.20x = 101,810,780,444.16
  5. Step 5: Solve for x
    x = 101,810,780,444.16/475,243.20
  6. Step 6: Final answer
    x = 214,228.80

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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.