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Finding the Fourth Proportional to 553,843.14, 764,348.46 and 312,142.08

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Solution

The fourth proportional to 553,843.14, 764,348.46 and 312,142.08 is: 430,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,843.14 : 764,348.46 = 312,142.08 : x
  2. Step 2: Convert to fraction form
    553,843.14/764,348.46 = 312,142.08/x
  3. Step 3: Cross multiply
    553,843.14x = 764,348.46 × 312,142.08
  4. Step 4: Simplify right side
    553,843.14x = 238,585,318,149.20
  5. Step 5: Solve for x
    x = 238,585,318,149.20/553,843.14
  6. Step 6: Final answer
    x = 430,781.39

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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.