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Finding the Fourth Proportional to 410,492.94, 566,489.88 and 229,198.74

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Solution

The fourth proportional to 410,492.94, 566,489.88 and 229,198.74 is: 316,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,492.94 : 566,489.88 = 229,198.74 : x
  2. Step 2: Convert to fraction form
    410,492.94/566,489.88 = 229,198.74/x
  3. Step 3: Cross multiply
    410,492.94x = 566,489.88 × 229,198.74
  4. Step 4: Simplify right side
    410,492.94x = 129,838,766,718.75
  5. Step 5: Solve for x
    x = 129,838,766,718.75/410,492.94
  6. Step 6: Final answer
    x = 316,299.63

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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.