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Finding the Fourth Proportional to 311,875.80, 466,829.55 and 302,034.30

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Solution

The fourth proportional to 311,875.80, 466,829.55 and 302,034.30 is: 452,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,875.80 : 466,829.55 = 302,034.30 : x
  2. Step 2: Convert to fraction form
    311,875.80/466,829.55 = 302,034.30/x
  3. Step 3: Cross multiply
    311,875.80x = 466,829.55 × 302,034.30
  4. Step 4: Simplify right side
    311,875.80x = 140,998,536,353.57
  5. Step 5: Solve for x
    x = 140,998,536,353.57/311,875.80
  6. Step 6: Final answer
    x = 452,098.36

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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.