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Finding the Fourth Proportional to 442,723.41, 663,854.54 and 158,304.33

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Solution

The fourth proportional to 442,723.41, 663,854.54 and 158,304.33 is: 237,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,723.41 : 663,854.54 = 158,304.33 : x
  2. Step 2: Convert to fraction form
    442,723.41/663,854.54 = 158,304.33/x
  3. Step 3: Cross multiply
    442,723.41x = 663,854.54 × 158,304.33
  4. Step 4: Simplify right side
    442,723.41x = 105,091,047,380.64
  5. Step 5: Solve for x
    x = 105,091,047,380.64/442,723.41
  6. Step 6: Final answer
    x = 237,374.05

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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.