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Finding the Fourth Proportional to 283,909.28, 425,362.80 and 253,019.12

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Solution

The fourth proportional to 283,909.28, 425,362.80 and 253,019.12 is: 379,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,909.28 : 425,362.80 = 253,019.12 : x
  2. Step 2: Convert to fraction form
    283,909.28/425,362.80 = 253,019.12/x
  3. Step 3: Cross multiply
    283,909.28x = 425,362.80 × 253,019.12
  4. Step 4: Simplify right side
    283,909.28x = 107,624,921,336.74
  5. Step 5: Solve for x
    x = 107,624,921,336.74/283,909.28
  6. Step 6: Final answer
    x = 379,082.08

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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.