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Finding the Fourth Proportional to 433,528.52, 598,470.21 and 252,174.38

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Solution

The fourth proportional to 433,528.52, 598,470.21 and 252,174.38 is: 348,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,528.52 : 598,470.21 = 252,174.38 : x
  2. Step 2: Convert to fraction form
    433,528.52/598,470.21 = 252,174.38/x
  3. Step 3: Cross multiply
    433,528.52x = 598,470.21 × 252,174.38
  4. Step 4: Simplify right side
    433,528.52x = 150,918,851,162.87
  5. Step 5: Solve for x
    x = 150,918,851,162.87/433,528.52
  6. Step 6: Final answer
    x = 348,117.47

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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.