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Finding the Fourth Proportional to 442,535.57, 610,795.79 and 281,359.14

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Solution

The fourth proportional to 442,535.57, 610,795.79 and 281,359.14 is: 388,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,535.57 : 610,795.79 = 281,359.14 : x
  2. Step 2: Convert to fraction form
    442,535.57/610,795.79 = 281,359.14/x
  3. Step 3: Cross multiply
    442,535.57x = 610,795.79 × 281,359.14
  4. Step 4: Simplify right side
    442,535.57x = 171,852,978,190.02
  5. Step 5: Solve for x
    x = 171,852,978,190.02/442,535.57
  6. Step 6: Final answer
    x = 388,337.10

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Why These Related Problems?

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