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Finding the Fourth Proportional to 409,059.40, 564,500.56 and 227,773.51

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Solution

The fourth proportional to 409,059.40, 564,500.56 and 227,773.51 is: 314,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,059.40 : 564,500.56 = 227,773.51 : x
  2. Step 2: Convert to fraction form
    409,059.40/564,500.56 = 227,773.51/x
  3. Step 3: Cross multiply
    409,059.40x = 564,500.56 × 227,773.51
  4. Step 4: Simplify right side
    409,059.40x = 128,578,273,948.17
  5. Step 5: Solve for x
    x = 128,578,273,948.17/409,059.40
  6. Step 6: Final answer
    x = 314,326.66

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1.5x scale

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.