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Finding the Fourth Proportional to 514,761.74, 772,239.61 and 195,009.38

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Solution

The fourth proportional to 514,761.74, 772,239.61 and 195,009.38 is: 292,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,761.74 : 772,239.61 = 195,009.38 : x
  2. Step 2: Convert to fraction form
    514,761.74/772,239.61 = 195,009.38/x
  3. Step 3: Cross multiply
    514,761.74x = 772,239.61 × 195,009.38
  4. Step 4: Simplify right side
    514,761.74x = 150,593,963,208.82
  5. Step 5: Solve for x
    x = 150,593,963,208.82/514,761.74
  6. Step 6: Final answer
    x = 292,550.81

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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.