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Finding the Fourth Proportional to 532,904.40, 798,967.80 and 217,198.80

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Solution

The fourth proportional to 532,904.40, 798,967.80 and 217,198.80 is: 325,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,904.40 : 798,967.80 = 217,198.80 : x
  2. Step 2: Convert to fraction form
    532,904.40/798,967.80 = 217,198.80/x
  3. Step 3: Cross multiply
    532,904.40x = 798,967.80 × 217,198.80
  4. Step 4: Simplify right side
    532,904.40x = 173,534,847,398.64
  5. Step 5: Solve for x
    x = 173,534,847,398.64/532,904.40
  6. Step 6: Final answer
    x = 325,639.73

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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.