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Finding the Fourth Proportional to 285,270.40, 428,212.80 and 160,854.40

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Solution

The fourth proportional to 285,270.40, 428,212.80 and 160,854.40 is: 241,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,270.40 : 428,212.80 = 160,854.40 : x
  2. Step 2: Convert to fraction form
    285,270.40/428,212.80 = 160,854.40/x
  3. Step 3: Cross multiply
    285,270.40x = 428,212.80 × 160,854.40
  4. Step 4: Simplify right side
    285,270.40x = 68,879,913,016.32
  5. Step 5: Solve for x
    x = 68,879,913,016.32/285,270.40
  6. Step 6: Final answer
    x = 241,454.82

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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.