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Finding the Fourth Proportional to 412,501.68, 569,275.56 and 231,272.28

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Solution

The fourth proportional to 412,501.68, 569,275.56 and 231,272.28 is: 319,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,501.68 : 569,275.56 = 231,272.28 : x
  2. Step 2: Convert to fraction form
    412,501.68/569,275.56 = 231,272.28/x
  3. Step 3: Cross multiply
    412,501.68x = 569,275.56 × 231,272.28
  4. Step 4: Simplify right side
    412,501.68x = 131,657,656,709.48
  5. Step 5: Solve for x
    x = 131,657,656,709.48/412,501.68
  6. Step 6: Final answer
    x = 319,168.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.