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Finding the Fourth Proportional to 410,752.61, 616,198.97 and 183,130.82

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Solution

The fourth proportional to 410,752.61, 616,198.97 and 183,130.82 is: 274,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,752.61 : 616,198.97 = 183,130.82 : x
  2. Step 2: Convert to fraction form
    410,752.61/616,198.97 = 183,130.82/x
  3. Step 3: Cross multiply
    410,752.61x = 616,198.97 × 183,130.82
  4. Step 4: Simplify right side
    410,752.61x = 112,845,022,346.83
  5. Step 5: Solve for x
    x = 112,845,022,346.83/410,752.61
  6. Step 6: Final answer
    x = 274,727.46

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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.