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Finding the Fourth Proportional to 402,085.39, 554,922.15 and 230,019.22

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Solution

The fourth proportional to 402,085.39, 554,922.15 and 230,019.22 is: 317,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,085.39 : 554,922.15 = 230,019.22 : x
  2. Step 2: Convert to fraction form
    402,085.39/554,922.15 = 230,019.22/x
  3. Step 3: Cross multiply
    402,085.39x = 554,922.15 × 230,019.22
  4. Step 4: Simplify right side
    402,085.39x = 127,642,760,103.72
  5. Step 5: Solve for x
    x = 127,642,760,103.72/402,085.39
  6. Step 6: Final answer
    x = 317,451.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.