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Finding the Fourth Proportional to 341,204.40, 510,795.72 and 252,854.46

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Solution

The fourth proportional to 341,204.40, 510,795.72 and 252,854.46 is: 378,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,204.40 : 510,795.72 = 252,854.46 : x
  2. Step 2: Convert to fraction form
    341,204.40/510,795.72 = 252,854.46/x
  3. Step 3: Cross multiply
    341,204.40x = 510,795.72 × 252,854.46
  4. Step 4: Simplify right side
    341,204.40x = 129,156,975,950.91
  5. Step 5: Solve for x
    x = 129,156,975,950.91/341,204.40
  6. Step 6: Final answer
    x = 378,532.56

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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.