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Finding the Fourth Proportional to 466,223.47, 699,335.39 and 209,756.57

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Solution

The fourth proportional to 466,223.47, 699,335.39 and 209,756.57 is: 314,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,223.47 : 699,335.39 = 209,756.57 : x
  2. Step 2: Convert to fraction form
    466,223.47/699,335.39 = 209,756.57/x
  3. Step 3: Cross multiply
    466,223.47x = 699,335.39 × 209,756.57
  4. Step 4: Simplify right side
    466,223.47x = 146,690,191,549.65
  5. Step 5: Solve for x
    x = 146,690,191,549.65/466,223.47
  6. Step 6: Final answer
    x = 314,634.93

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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.