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Finding the Fourth Proportional to 461,201.90, 692,191.65 and 224,746.70

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Solution

The fourth proportional to 461,201.90, 692,191.65 and 224,746.70 is: 337,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,201.90 : 692,191.65 = 224,746.70 : x
  2. Step 2: Convert to fraction form
    461,201.90/692,191.65 = 224,746.70/x
  3. Step 3: Cross multiply
    461,201.90x = 692,191.65 × 224,746.70
  4. Step 4: Simplify right side
    461,201.90x = 155,567,789,105.06
  5. Step 5: Solve for x
    x = 155,567,789,105.06/461,201.90
  6. Step 6: Final answer
    x = 337,309.51

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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.