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Finding the Fourth Proportional to 461,323.80, 692,115.30 and 224,674.20

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Solution

The fourth proportional to 461,323.80, 692,115.30 and 224,674.20 is: 337,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,323.80 : 692,115.30 = 224,674.20 : x
  2. Step 2: Convert to fraction form
    461,323.80/692,115.30 = 224,674.20/x
  3. Step 3: Cross multiply
    461,323.80x = 692,115.30 × 224,674.20
  4. Step 4: Simplify right side
    461,323.80x = 155,500,451,335.26
  5. Step 5: Solve for x
    x = 155,500,451,335.26/461,323.80
  6. Step 6: Final answer
    x = 337,074.42

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1.5x scale

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.