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Finding the Fourth Proportional to 568,299.42, 784,254.82 and 310,178.72

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Solution

The fourth proportional to 568,299.42, 784,254.82 and 310,178.72 is: 428,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,299.42 : 784,254.82 = 310,178.72 : x
  2. Step 2: Convert to fraction form
    568,299.42/784,254.82 = 310,178.72/x
  3. Step 3: Cross multiply
    568,299.42x = 784,254.82 × 310,178.72
  4. Step 4: Simplify right side
    568,299.42x = 243,259,156,221.43
  5. Step 5: Solve for x
    x = 243,259,156,221.43/568,299.42
  6. Step 6: Final answer
    x = 428,047.52

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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.