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Finding the Fourth Proportional to 552,730.50, 762,763.15 and 311,008.24

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Solution

The fourth proportional to 552,730.50, 762,763.15 and 311,008.24 is: 429,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,730.50 : 762,763.15 = 311,008.24 : x
  2. Step 2: Convert to fraction form
    552,730.50/762,763.15 = 311,008.24/x
  3. Step 3: Cross multiply
    552,730.50x = 762,763.15 × 311,008.24
  4. Step 4: Simplify right side
    552,730.50x = 237,225,619,449.50
  5. Step 5: Solve for x
    x = 237,225,619,449.50/552,730.50
  6. Step 6: Final answer
    x = 429,188.59

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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.