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Finding the Fourth Proportional to 506,003.52, 698,217.20 and 324,960.60

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Solution

The fourth proportional to 506,003.52, 698,217.20 and 324,960.60 is: 448,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,003.52 : 698,217.20 = 324,960.60 : x
  2. Step 2: Convert to fraction form
    506,003.52/698,217.20 = 324,960.60/x
  3. Step 3: Cross multiply
    506,003.52x = 698,217.20 × 324,960.60
  4. Step 4: Simplify right side
    506,003.52x = 226,893,080,242.32
  5. Step 5: Solve for x
    x = 226,893,080,242.32/506,003.52
  6. Step 6: Final answer
    x = 448,402.18

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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.