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Finding the Fourth Proportional to 417,281.52, 575,930.16 and 274,037.88

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Solution

The fourth proportional to 417,281.52, 575,930.16 and 274,037.88 is: 378,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,281.52 : 575,930.16 = 274,037.88 : x
  2. Step 2: Convert to fraction form
    417,281.52/575,930.16 = 274,037.88/x
  3. Step 3: Cross multiply
    417,281.52x = 575,930.16 × 274,037.88
  4. Step 4: Simplify right side
    417,281.52x = 157,826,680,074.46
  5. Step 5: Solve for x
    x = 157,826,680,074.46/417,281.52
  6. Step 6: Final answer
    x = 378,225.90

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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.