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Finding the Fourth Proportional to 409,174.96, 564,508.62 and 408,544.14

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Solution

The fourth proportional to 409,174.96, 564,508.62 and 408,544.14 is: 563,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,174.96 : 564,508.62 = 408,544.14 : x
  2. Step 2: Convert to fraction form
    409,174.96/564,508.62 = 408,544.14/x
  3. Step 3: Cross multiply
    409,174.96x = 564,508.62 × 408,544.14
  4. Step 4: Simplify right side
    409,174.96x = 230,626,688,680.49
  5. Step 5: Solve for x
    x = 230,626,688,680.49/409,174.96
  6. Step 6: Final answer
    x = 563,638.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.