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Finding the Fourth Proportional to 497,211.45, 745,798.51 and 296,198.83

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Solution

The fourth proportional to 497,211.45, 745,798.51 and 296,198.83 is: 444,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,211.45 : 745,798.51 = 296,198.83 : x
  2. Step 2: Convert to fraction form
    497,211.45/745,798.51 = 296,198.83/x
  3. Step 3: Cross multiply
    497,211.45x = 745,798.51 × 296,198.83
  4. Step 4: Simplify right side
    497,211.45x = 220,904,646,077.74
  5. Step 5: Solve for x
    x = 220,904,646,077.74/497,211.45
  6. Step 6: Final answer
    x = 444,287.13

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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.