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Finding the Fourth Proportional to 410,752.38, 616,198.62 and 183,130.59

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Solution

The fourth proportional to 410,752.38, 616,198.62 and 183,130.59 is: 274,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,752.38 : 616,198.62 = 183,130.59 : x
  2. Step 2: Convert to fraction form
    410,752.38/616,198.62 = 183,130.59/x
  3. Step 3: Cross multiply
    410,752.38x = 616,198.62 × 183,130.59
  4. Step 4: Simplify right side
    410,752.38x = 112,844,814,527.04
  5. Step 5: Solve for x
    x = 112,844,814,527.04/410,752.38
  6. Step 6: Final answer
    x = 274,727.11

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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.