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Finding the Fourth Proportional to 492,596.38, 738,994.65 and 155,689.66

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Solution

The fourth proportional to 492,596.38, 738,994.65 and 155,689.66 is: 233,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,596.38 : 738,994.65 = 155,689.66 : x
  2. Step 2: Convert to fraction form
    492,596.38/738,994.65 = 155,689.66/x
  3. Step 3: Cross multiply
    492,596.38x = 738,994.65 × 155,689.66
  4. Step 4: Simplify right side
    492,596.38x = 115,053,825,800.32
  5. Step 5: Solve for x
    x = 115,053,825,800.32/492,596.38
  6. Step 6: Final answer
    x = 233,566.12

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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.