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Finding the Fourth Proportional to 364,530.30, 546,795.45 and 252,337.20

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Solution

The fourth proportional to 364,530.30, 546,795.45 and 252,337.20 is: 378,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,530.30 : 546,795.45 = 252,337.20 : x
  2. Step 2: Convert to fraction form
    364,530.30/546,795.45 = 252,337.20/x
  3. Step 3: Cross multiply
    364,530.30x = 546,795.45 × 252,337.20
  4. Step 4: Simplify right side
    364,530.30x = 137,976,832,825.74
  5. Step 5: Solve for x
    x = 137,976,832,825.74/364,530.30
  6. Step 6: Final answer
    x = 378,505.80

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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.