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Finding the Fourth Proportional to 402,087.40, 554,924.92 and 230,021.22

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Solution

The fourth proportional to 402,087.40, 554,924.92 and 230,021.22 is: 317,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,087.40 : 554,924.92 = 230,021.22 : x
  2. Step 2: Convert to fraction form
    402,087.40/554,924.92 = 230,021.22/x
  3. Step 3: Cross multiply
    402,087.40x = 554,924.92 × 230,021.22
  4. Step 4: Simplify right side
    402,087.40x = 127,644,507,106.80
  5. Step 5: Solve for x
    x = 127,644,507,106.80/402,087.40
  6. Step 6: Final answer
    x = 317,454.63

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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.