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Finding the Fourth Proportional to 311,385.90, 429,713.86 and 175,421.48

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Solution

The fourth proportional to 311,385.90, 429,713.86 and 175,421.48 is: 242,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,385.90 : 429,713.86 = 175,421.48 : x
  2. Step 2: Convert to fraction form
    311,385.90/429,713.86 = 175,421.48/x
  3. Step 3: Cross multiply
    311,385.90x = 429,713.86 × 175,421.48
  4. Step 4: Simplify right side
    311,385.90x = 75,381,041,456.65
  5. Step 5: Solve for x
    x = 75,381,041,456.65/311,385.90
  6. Step 6: Final answer
    x = 242,082.38

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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.