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Finding the Fourth Proportional to 625,842.81, 938,389.32 and 199,194.35

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Solution

The fourth proportional to 625,842.81, 938,389.32 and 199,194.35 is: 298,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,842.81 : 938,389.32 = 199,194.35 : x
  2. Step 2: Convert to fraction form
    625,842.81/938,389.32 = 199,194.35/x
  3. Step 3: Cross multiply
    625,842.81x = 938,389.32 × 199,194.35
  4. Step 4: Simplify right side
    625,842.81x = 186,921,845,952.40
  5. Step 5: Solve for x
    x = 186,921,845,952.40/625,842.81
  6. Step 6: Final answer
    x = 298,672.20

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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.