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Finding the Fourth Proportional to 283,260.85, 390,876.13 and 162,374.42

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Solution

The fourth proportional to 283,260.85, 390,876.13 and 162,374.42 is: 224,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,260.85 : 390,876.13 = 162,374.42 : x
  2. Step 2: Convert to fraction form
    283,260.85/390,876.13 = 162,374.42/x
  3. Step 3: Cross multiply
    283,260.85x = 390,876.13 × 162,374.42
  4. Step 4: Simplify right side
    283,260.85x = 63,468,286,080.75
  5. Step 5: Solve for x
    x = 63,468,286,080.75/283,260.85
  6. Step 6: Final answer
    x = 224,063.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.