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Finding the Fourth Proportional to 482,405.06, 723,642.16 and 127,415.54

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Solution

The fourth proportional to 482,405.06, 723,642.16 and 127,415.54 is: 191,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,405.06 : 723,642.16 = 127,415.54 : x
  2. Step 2: Convert to fraction form
    482,405.06/723,642.16 = 127,415.54/x
  3. Step 3: Cross multiply
    482,405.06x = 723,642.16 × 127,415.54
  4. Step 4: Simplify right side
    482,405.06x = 92,203,256,583.17
  5. Step 5: Solve for x
    x = 92,203,256,583.17/482,405.06
  6. Step 6: Final answer
    x = 191,132.44

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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.