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Finding the Fourth Proportional to 557,687.38, 769,546.12 and 315,918.17

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Solution

The fourth proportional to 557,687.38, 769,546.12 and 315,918.17 is: 435,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,687.38 : 769,546.12 = 315,918.17 : x
  2. Step 2: Convert to fraction form
    557,687.38/769,546.12 = 315,918.17/x
  3. Step 3: Cross multiply
    557,687.38x = 769,546.12 × 315,918.17
  4. Step 4: Simplify right side
    557,687.38x = 243,113,605,130.32
  5. Step 5: Solve for x
    x = 243,113,605,130.32/557,687.38
  6. Step 6: Final answer
    x = 435,931.70

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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.