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Finding the Fourth Proportional to 302,842.46, 417,922.61 and 175,591.87

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Solution

The fourth proportional to 302,842.46, 417,922.61 and 175,591.87 is: 242,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,842.46 : 417,922.61 = 175,591.87 : x
  2. Step 2: Convert to fraction form
    302,842.46/417,922.61 = 175,591.87/x
  3. Step 3: Cross multiply
    302,842.46x = 417,922.61 × 175,591.87
  4. Step 4: Simplify right side
    302,842.46x = 73,383,812,605.18
  5. Step 5: Solve for x
    x = 73,383,812,605.18/302,842.46
  6. Step 6: Final answer
    x = 242,316.79

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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.