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Finding the Fourth Proportional to 409,132.56, 564,598.38 and 227,840.52

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Solution

The fourth proportional to 409,132.56, 564,598.38 and 227,840.52 is: 314,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,132.56 : 564,598.38 = 227,840.52 : x
  2. Step 2: Convert to fraction form
    409,132.56/564,598.38 = 227,840.52/x
  3. Step 3: Cross multiply
    409,132.56x = 564,598.38 × 227,840.52
  4. Step 4: Simplify right side
    409,132.56x = 128,638,388,490.36
  5. Step 5: Solve for x
    x = 128,638,388,490.36/409,132.56
  6. Step 6: Final answer
    x = 314,417.38

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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.