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Finding the Fourth Proportional to 409,119.55, 564,294.14 and 273,084.91

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Solution

The fourth proportional to 409,119.55, 564,294.14 and 273,084.91 is: 376,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,119.55 : 564,294.14 = 273,084.91 : x
  2. Step 2: Convert to fraction form
    409,119.55/564,294.14 = 273,084.91/x
  3. Step 3: Cross multiply
    409,119.55x = 564,294.14 × 273,084.91
  4. Step 4: Simplify right side
    409,119.55x = 154,100,214,435.43
  5. Step 5: Solve for x
    x = 154,100,214,435.43/409,119.55
  6. Step 6: Final answer
    x = 376,663.04

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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.