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Finding the Fourth Proportional to 364,568.80, 546,853.20 and 288,461.20

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Solution

The fourth proportional to 364,568.80, 546,853.20 and 288,461.20 is: 432,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,568.80 : 546,853.20 = 288,461.20 : x
  2. Step 2: Convert to fraction form
    364,568.80/546,853.20 = 288,461.20/x
  3. Step 3: Cross multiply
    364,568.80x = 546,853.20 × 288,461.20
  4. Step 4: Simplify right side
    364,568.80x = 157,745,930,295.84
  5. Step 5: Solve for x
    x = 157,745,930,295.84/364,568.80
  6. Step 6: Final answer
    x = 432,691.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.