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Finding the Fourth Proportional to 415,775.98, 573,770.79 and 224,789.37

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Solution

The fourth proportional to 415,775.98, 573,770.79 and 224,789.37 is: 310,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,775.98 : 573,770.79 = 224,789.37 : x
  2. Step 2: Convert to fraction form
    415,775.98/573,770.79 = 224,789.37/x
  3. Step 3: Cross multiply
    415,775.98x = 573,770.79 × 224,789.37
  4. Step 4: Simplify right side
    415,775.98x = 128,977,574,408.50
  5. Step 5: Solve for x
    x = 128,977,574,408.50/415,775.98
  6. Step 6: Final answer
    x = 310,209.30

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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.