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Finding the Fourth Proportional to 464,182.77, 696,199.41 and 127,144.59

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Solution

The fourth proportional to 464,182.77, 696,199.41 and 127,144.59 is: 190,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,182.77 : 696,199.41 = 127,144.59 : x
  2. Step 2: Convert to fraction form
    464,182.77/696,199.41 = 127,144.59/x
  3. Step 3: Cross multiply
    464,182.77x = 696,199.41 × 127,144.59
  4. Step 4: Simplify right side
    464,182.77x = 88,517,988,542.69
  5. Step 5: Solve for x
    x = 88,517,988,542.69/464,182.77
  6. Step 6: Final answer
    x = 190,696.41

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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.