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Finding the Fourth Proportional to 492,049.80, 738,074.70 and 176,465.70

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Solution

The fourth proportional to 492,049.80, 738,074.70 and 176,465.70 is: 264,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,049.80 : 738,074.70 = 176,465.70 : x
  2. Step 2: Convert to fraction form
    492,049.80/738,074.70 = 176,465.70/x
  3. Step 3: Cross multiply
    492,049.80x = 738,074.70 × 176,465.70
  4. Step 4: Simplify right side
    492,049.80x = 130,244,868,587.79
  5. Step 5: Solve for x
    x = 130,244,868,587.79/492,049.80
  6. Step 6: Final answer
    x = 264,698.55

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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.