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Finding the Fourth Proportional to 287,641.83, 396,959.31 and 160,318.35

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Solution

The fourth proportional to 287,641.83, 396,959.31 and 160,318.35 is: 221,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,641.83 : 396,959.31 = 160,318.35 : x
  2. Step 2: Convert to fraction form
    287,641.83/396,959.31 = 160,318.35/x
  3. Step 3: Cross multiply
    287,641.83x = 396,959.31 × 160,318.35
  4. Step 4: Simplify right side
    287,641.83x = 63,639,861,596.34
  5. Step 5: Solve for x
    x = 63,639,861,596.34/287,641.83
  6. Step 6: Final answer
    x = 221,246.89

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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.