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Finding the Fourth Proportional to 282,775.29, 423,239.82 and 207,875.61

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Solution

The fourth proportional to 282,775.29, 423,239.82 and 207,875.61 is: 311,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,775.29 : 423,239.82 = 207,875.61 : x
  2. Step 2: Convert to fraction form
    282,775.29/423,239.82 = 207,875.61/x
  3. Step 3: Cross multiply
    282,775.29x = 423,239.82 × 207,875.61
  4. Step 4: Simplify right side
    282,775.29x = 87,981,234,719.41
  5. Step 5: Solve for x
    x = 87,981,234,719.41/282,775.29
  6. Step 6: Final answer
    x = 311,134.81

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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.