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Finding the Fourth Proportional to 442,172.16, 610,197.60 and 240,968

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Solution

The fourth proportional to 442,172.16, 610,197.60 and 240,968 is: 332,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,172.16 : 610,197.60 = 240,968 : x
  2. Step 2: Convert to fraction form
    442,172.16/610,197.60 = 240,968/x
  3. Step 3: Cross multiply
    442,172.16x = 610,197.60 × 240,968
  4. Step 4: Simplify right side
    442,172.16x = 147,038,095,276.80
  5. Step 5: Solve for x
    x = 147,038,095,276.80/442,172.16
  6. Step 6: Final answer
    x = 332,535.85

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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.