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Finding the Fourth Proportional to 364,581.80, 546,872.70 and 342,420.20

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Solution

The fourth proportional to 364,581.80, 546,872.70 and 342,420.20 is: 513,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,581.80 : 546,872.70 = 342,420.20 : x
  2. Step 2: Convert to fraction form
    364,581.80/546,872.70 = 342,420.20/x
  3. Step 3: Cross multiply
    364,581.80x = 546,872.70 × 342,420.20
  4. Step 4: Simplify right side
    364,581.80x = 187,260,259,308.54
  5. Step 5: Solve for x
    x = 187,260,259,308.54/364,581.80
  6. Step 6: Final answer
    x = 513,630.30

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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.