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Finding the Fourth Proportional to 363,784.80, 545,774.40 and 324,613.20

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Solution

The fourth proportional to 363,784.80, 545,774.40 and 324,613.20 is: 487,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,784.80 : 545,774.40 = 324,613.20 : x
  2. Step 2: Convert to fraction form
    363,784.80/545,774.40 = 324,613.20/x
  3. Step 3: Cross multiply
    363,784.80x = 545,774.40 × 324,613.20
  4. Step 4: Simplify right side
    363,784.80x = 177,165,574,462.08
  5. Step 5: Solve for x
    x = 177,165,574,462.08/363,784.80
  6. Step 6: Final answer
    x = 487,006.53

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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.