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Finding the Fourth Proportional to 633,047.39, 949,722.14 and 206,584

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Solution

The fourth proportional to 633,047.39, 949,722.14 and 206,584 is: 309,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,047.39 : 949,722.14 = 206,584 : x
  2. Step 2: Convert to fraction form
    633,047.39/949,722.14 = 206,584/x
  3. Step 3: Cross multiply
    633,047.39x = 949,722.14 × 206,584
  4. Step 4: Simplify right side
    633,047.39x = 196,197,398,569.76
  5. Step 5: Solve for x
    x = 196,197,398,569.76/633,047.39
  6. Step 6: Final answer
    x = 309,925.29

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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.