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Finding the Fourth Proportional to 461,278.80, 692,047.80 and 224,629.20

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Solution

The fourth proportional to 461,278.80, 692,047.80 and 224,629.20 is: 337,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,278.80 : 692,047.80 = 224,629.20 : x
  2. Step 2: Convert to fraction form
    461,278.80/692,047.80 = 224,629.20/x
  3. Step 3: Cross multiply
    461,278.80x = 692,047.80 × 224,629.20
  4. Step 4: Simplify right side
    461,278.80x = 155,454,143,675.76
  5. Step 5: Solve for x
    x = 155,454,143,675.76/461,278.80
  6. Step 6: Final answer
    x = 337,006.91

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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.