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Finding the Fourth Proportional to 442,098.46, 610,095.88 and 240,894.46

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Solution

The fourth proportional to 442,098.46, 610,095.88 and 240,894.46 is: 332,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,098.46 : 610,095.88 = 240,894.46 : x
  2. Step 2: Convert to fraction form
    442,098.46/610,095.88 = 240,894.46/x
  3. Step 3: Cross multiply
    442,098.46x = 610,095.88 × 240,894.46
  4. Step 4: Simplify right side
    442,098.46x = 146,968,717,560.83
  5. Step 5: Solve for x
    x = 146,968,717,560.83/442,098.46
  6. Step 6: Final answer
    x = 332,434.36

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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.