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Finding the Fourth Proportional to 410,661.52, 566,672.88 and 229,359.04

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Solution

The fourth proportional to 410,661.52, 566,672.88 and 229,359.04 is: 316,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.52 : 566,672.88 = 229,359.04 : x
  2. Step 2: Convert to fraction form
    410,661.52/566,672.88 = 229,359.04/x
  3. Step 3: Cross multiply
    410,661.52x = 566,672.88 × 229,359.04
  4. Step 4: Simplify right side
    410,661.52x = 129,971,547,750.84
  5. Step 5: Solve for x
    x = 129,971,547,750.84/410,661.52
  6. Step 6: Final answer
    x = 316,493.12

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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.