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Finding the Fourth Proportional to 302,725.06, 417,760.70 and 175,474.48

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Solution

The fourth proportional to 302,725.06, 417,760.70 and 175,474.48 is: 242,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,725.06 : 417,760.70 = 175,474.48 : x
  2. Step 2: Convert to fraction form
    302,725.06/417,760.70 = 175,474.48/x
  3. Step 3: Cross multiply
    302,725.06x = 417,760.70 × 175,474.48
  4. Step 4: Simplify right side
    302,725.06x = 73,306,341,596.94
  5. Step 5: Solve for x
    x = 73,306,341,596.94/302,725.06
  6. Step 6: Final answer
    x = 242,154.85

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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.