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Finding the Fourth Proportional to 295,314.80, 442,972.20 and 295,314.80

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Solution

The fourth proportional to 295,314.80, 442,972.20 and 295,314.80 is: 442,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,314.80 : 442,972.20 = 295,314.80 : x
  2. Step 2: Convert to fraction form
    295,314.80/442,972.20 = 295,314.80/x
  3. Step 3: Cross multiply
    295,314.80x = 442,972.20 × 295,314.80
  4. Step 4: Simplify right side
    295,314.80x = 130,816,246,648.56
  5. Step 5: Solve for x
    x = 130,816,246,648.56/295,314.80
  6. Step 6: Final answer
    x = 442,972.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.