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Finding the Fourth Proportional to 424,866.32, 586,327.80 and 231,286.58

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Solution

The fourth proportional to 424,866.32, 586,327.80 and 231,286.58 is: 319,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,866.32 : 586,327.80 = 231,286.58 : x
  2. Step 2: Convert to fraction form
    424,866.32/586,327.80 = 231,286.58/x
  3. Step 3: Cross multiply
    424,866.32x = 586,327.80 × 231,286.58
  4. Step 4: Simplify right side
    424,866.32x = 135,609,748,689.29
  5. Step 5: Solve for x
    x = 135,609,748,689.29/424,866.32
  6. Step 6: Final answer
    x = 319,182.16

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1.5x scale

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.