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Finding the Fourth Proportional to 609,194.71, 913,793.89 and 209,830.29

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Solution

The fourth proportional to 609,194.71, 913,793.89 and 209,830.29 is: 314,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,194.71 : 913,793.89 = 209,830.29 : x
  2. Step 2: Convert to fraction form
    609,194.71/913,793.89 = 209,830.29/x
  3. Step 3: Cross multiply
    609,194.71x = 913,793.89 × 209,830.29
  4. Step 4: Simplify right side
    609,194.71x = 191,741,636,938.93
  5. Step 5: Solve for x
    x = 191,741,636,938.93/609,194.71
  6. Step 6: Final answer
    x = 314,746.06

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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.