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Finding the Fourth Proportional to 428,572.34, 642,948.42 and 162,326.96

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Solution

The fourth proportional to 428,572.34, 642,948.42 and 162,326.96 is: 243,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,572.34 : 642,948.42 = 162,326.96 : x
  2. Step 2: Convert to fraction form
    428,572.34/642,948.42 = 162,326.96/x
  3. Step 3: Cross multiply
    428,572.34x = 642,948.42 × 162,326.96
  4. Step 4: Simplify right side
    428,572.34x = 104,367,862,455.40
  5. Step 5: Solve for x
    x = 104,367,862,455.40/428,572.34
  6. Step 6: Final answer
    x = 243,524.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.