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Finding the Fourth Proportional to 553,109.38, 763,232.52 and 311,387.56

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Solution

The fourth proportional to 553,109.38, 763,232.52 and 311,387.56 is: 429,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,109.38 : 763,232.52 = 311,387.56 : x
  2. Step 2: Convert to fraction form
    553,109.38/763,232.52 = 311,387.56/x
  3. Step 3: Cross multiply
    553,109.38x = 763,232.52 × 311,387.56
  4. Step 4: Simplify right side
    553,109.38x = 237,661,111,375.07
  5. Step 5: Solve for x
    x = 237,661,111,375.07/553,109.38
  6. Step 6: Final answer
    x = 429,681.94

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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.