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Finding the Fourth Proportional to 409,296.52, 564,777.78 and 227,962.76

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Solution

The fourth proportional to 409,296.52, 564,777.78 and 227,962.76 is: 314,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,296.52 : 564,777.78 = 227,962.76 : x
  2. Step 2: Convert to fraction form
    409,296.52/564,777.78 = 227,962.76/x
  3. Step 3: Cross multiply
    409,296.52x = 564,777.78 × 227,962.76
  4. Step 4: Simplify right side
    409,296.52x = 128,748,301,515.47
  5. Step 5: Solve for x
    x = 128,748,301,515.47/409,296.52
  6. Step 6: Final answer
    x = 314,559.97

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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.