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Finding the Fourth Proportional to 475,189.01, 712,889.88 and 159,637.31

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Solution

The fourth proportional to 475,189.01, 712,889.88 and 159,637.31 is: 239,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,189.01 : 712,889.88 = 159,637.31 : x
  2. Step 2: Convert to fraction form
    475,189.01/712,889.88 = 159,637.31/x
  3. Step 3: Cross multiply
    475,189.01x = 712,889.88 × 159,637.31
  4. Step 4: Simplify right side
    475,189.01x = 113,803,819,204.97
  5. Step 5: Solve for x
    x = 113,803,819,204.97/475,189.01
  6. Step 6: Final answer
    x = 239,491.69

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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.