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Finding the Fourth Proportional to 415,794.90, 573,797.78 and 224,808.30

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Solution

The fourth proportional to 415,794.90, 573,797.78 and 224,808.30 is: 310,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,794.90 : 573,797.78 = 224,808.30 : x
  2. Step 2: Convert to fraction form
    415,794.90/573,797.78 = 224,808.30/x
  3. Step 3: Cross multiply
    415,794.90x = 573,797.78 × 224,808.30
  4. Step 4: Simplify right side
    415,794.90x = 128,994,503,465.57
  5. Step 5: Solve for x
    x = 128,994,503,465.57/415,794.90
  6. Step 6: Final answer
    x = 310,235.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.