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Finding the Fourth Proportional to 311,111.40, 465,500.70 and 283,117.80

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Solution

The fourth proportional to 311,111.40, 465,500.70 and 283,117.80 is: 423,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,111.40 : 465,500.70 = 283,117.80 : x
  2. Step 2: Convert to fraction form
    311,111.40/465,500.70 = 283,117.80/x
  3. Step 3: Cross multiply
    311,111.40x = 465,500.70 × 283,117.80
  4. Step 4: Simplify right side
    311,111.40x = 131,791,534,082.46
  5. Step 5: Solve for x
    x = 131,791,534,082.46/311,111.40
  6. Step 6: Final answer
    x = 423,615.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.