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Finding the Fourth Proportional to 372,715.90, 514,333.90 and 227,764.06

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Solution

The fourth proportional to 372,715.90, 514,333.90 and 227,764.06 is: 314,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,715.90 : 514,333.90 = 227,764.06 : x
  2. Step 2: Convert to fraction form
    372,715.90/514,333.90 = 227,764.06/x
  3. Step 3: Cross multiply
    372,715.90x = 514,333.90 × 227,764.06
  4. Step 4: Simplify right side
    372,715.90x = 117,146,774,687.97
  5. Step 5: Solve for x
    x = 117,146,774,687.97/372,715.90
  6. Step 6: Final answer
    x = 314,305.82

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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.