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Finding the Fourth Proportional to 568,228.24, 784,449.76 and 415,094.50

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Solution

The fourth proportional to 568,228.24, 784,449.76 and 415,094.50 is: 573,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,228.24 : 784,449.76 = 415,094.50 : x
  2. Step 2: Convert to fraction form
    568,228.24/784,449.76 = 415,094.50/x
  3. Step 3: Cross multiply
    568,228.24x = 784,449.76 × 415,094.50
  4. Step 4: Simplify right side
    568,228.24x = 325,620,780,902.32
  5. Step 5: Solve for x
    x = 325,620,780,902.32/568,228.24
  6. Step 6: Final answer
    x = 573,045.76

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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.