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Finding the Fourth Proportional to 385,712.29, 578,606.49 and 132,959.50

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Solution

The fourth proportional to 385,712.29, 578,606.49 and 132,959.50 is: 199,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,712.29 : 578,606.49 = 132,959.50 : x
  2. Step 2: Convert to fraction form
    385,712.29/578,606.49 = 132,959.50/x
  3. Step 3: Cross multiply
    385,712.29x = 578,606.49 × 132,959.50
  4. Step 4: Simplify right side
    385,712.29x = 76,931,228,534.59
  5. Step 5: Solve for x
    x = 76,931,228,534.59/385,712.29
  6. Step 6: Final answer
    x = 199,452.37

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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.