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Finding the Fourth Proportional to 282,594.56, 423,547.52 and 156,229.76

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Solution

The fourth proportional to 282,594.56, 423,547.52 and 156,229.76 is: 234,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,594.56 : 423,547.52 = 156,229.76 : x
  2. Step 2: Convert to fraction form
    282,594.56/423,547.52 = 156,229.76/x
  3. Step 3: Cross multiply
    282,594.56x = 423,547.52 × 156,229.76
  4. Step 4: Simplify right side
    282,594.56x = 66,170,727,398.20
  5. Step 5: Solve for x
    x = 66,170,727,398.20/282,594.56
  6. Step 6: Final answer
    x = 234,154.29

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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.