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Finding the Fourth Proportional to 492,347.97, 738,600.66 and 208,041.21

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Solution

The fourth proportional to 492,347.97, 738,600.66 and 208,041.21 is: 312,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,347.97 : 738,600.66 = 208,041.21 : x
  2. Step 2: Convert to fraction form
    492,347.97/738,600.66 = 208,041.21/x
  3. Step 3: Cross multiply
    492,347.97x = 738,600.66 × 208,041.21
  4. Step 4: Simplify right side
    492,347.97x = 153,659,375,013.20
  5. Step 5: Solve for x
    x = 153,659,375,013.20/492,347.97
  6. Step 6: Final answer
    x = 312,095.07

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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.