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Finding the Fourth Proportional to 500,232.56, 689,854.56 and 463,077.78

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Solution

The fourth proportional to 500,232.56, 689,854.56 and 463,077.78 is: 638,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,232.56 : 689,854.56 = 463,077.78 : x
  2. Step 2: Convert to fraction form
    500,232.56/689,854.56 = 463,077.78/x
  3. Step 3: Cross multiply
    500,232.56x = 689,854.56 × 463,077.78
  4. Step 4: Simplify right side
    500,232.56x = 319,456,318,167.68
  5. Step 5: Solve for x
    x = 319,456,318,167.68/500,232.56
  6. Step 6: Final answer
    x = 638,615.61

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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.