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Finding the Fourth Proportional to 409,659.62, 565,363.95 and 225,934.13

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Solution

The fourth proportional to 409,659.62, 565,363.95 and 225,934.13 is: 311,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.62 : 565,363.95 = 225,934.13 : x
  2. Step 2: Convert to fraction form
    409,659.62/565,363.95 = 225,934.13/x
  3. Step 3: Cross multiply
    409,659.62x = 565,363.95 × 225,934.13
  4. Step 4: Simplify right side
    409,659.62x = 127,735,012,176.61
  5. Step 5: Solve for x
    x = 127,735,012,176.61/409,659.62
  6. Step 6: Final answer
    x = 311,807.67

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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.