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Finding the Fourth Proportional to 552,811.50, 762,882.93 and 311,098.14

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Solution

The fourth proportional to 552,811.50, 762,882.93 and 311,098.14 is: 429,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,811.50 : 762,882.93 = 311,098.14 : x
  2. Step 2: Convert to fraction form
    552,811.50/762,882.93 = 311,098.14/x
  3. Step 3: Cross multiply
    552,811.50x = 762,882.93 × 311,098.14
  4. Step 4: Simplify right side
    552,811.50x = 237,331,460,560.75
  5. Step 5: Solve for x
    x = 237,331,460,560.75/552,811.50
  6. Step 6: Final answer
    x = 429,317.16

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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.