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Finding the Fourth Proportional to 492,204.16, 738,342.42 and 176,663.80

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Solution

The fourth proportional to 492,204.16, 738,342.42 and 176,663.80 is: 265,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,204.16 : 738,342.42 = 176,663.80 : x
  2. Step 2: Convert to fraction form
    492,204.16/738,342.42 = 176,663.80/x
  3. Step 3: Cross multiply
    492,204.16x = 738,342.42 × 176,663.80
  4. Step 4: Simplify right side
    492,204.16x = 130,438,377,618.40
  5. Step 5: Solve for x
    x = 130,438,377,618.40/492,204.16
  6. Step 6: Final answer
    x = 265,008.69

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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.