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Finding the Fourth Proportional to 409,059.90, 564,501.24 and 227,774.01

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Solution

The fourth proportional to 409,059.90, 564,501.24 and 227,774.01 is: 314,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,059.90 : 564,501.24 = 227,774.01 : x
  2. Step 2: Convert to fraction form
    409,059.90/564,501.24 = 227,774.01/x
  3. Step 3: Cross multiply
    409,059.90x = 564,501.24 × 227,774.01
  4. Step 4: Simplify right side
    409,059.90x = 128,578,711,084.77
  5. Step 5: Solve for x
    x = 128,578,711,084.77/409,059.90
  6. Step 6: Final answer
    x = 314,327.34

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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.