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Finding the Fourth Proportional to 282,961.38, 390,479.04 and 160,476.24

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Solution

The fourth proportional to 282,961.38, 390,479.04 and 160,476.24 is: 221,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,961.38 : 390,479.04 = 160,476.24 : x
  2. Step 2: Convert to fraction form
    282,961.38/390,479.04 = 160,476.24/x
  3. Step 3: Cross multiply
    282,961.38x = 390,479.04 × 160,476.24
  4. Step 4: Simplify right side
    282,961.38x = 62,662,608,138.01
  5. Step 5: Solve for x
    x = 62,662,608,138.01/282,961.38
  6. Step 6: Final answer
    x = 221,452.86

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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.