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Finding the Fourth Proportional to 442,116.32, 610,120.40 and 240,912.32

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Solution

The fourth proportional to 442,116.32, 610,120.40 and 240,912.32 is: 332,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,116.32 : 610,120.40 = 240,912.32 : x
  2. Step 2: Convert to fraction form
    442,116.32/610,120.40 = 240,912.32/x
  3. Step 3: Cross multiply
    442,116.32x = 610,120.40 × 240,912.32
  4. Step 4: Simplify right side
    442,116.32x = 146,985,516,788.16
  5. Step 5: Solve for x
    x = 146,985,516,788.16/442,116.32
  6. Step 6: Final answer
    x = 332,458.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.