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Finding the Fourth Proportional to 416,206.11, 624,309.47 and 100,663.32

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Solution

The fourth proportional to 416,206.11, 624,309.47 and 100,663.32 is: 150,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,206.11 : 624,309.47 = 100,663.32 : x
  2. Step 2: Convert to fraction form
    416,206.11/624,309.47 = 100,663.32/x
  3. Step 3: Cross multiply
    416,206.11x = 624,309.47 × 100,663.32
  4. Step 4: Simplify right side
    416,206.11x = 62,845,063,454.32
  5. Step 5: Solve for x
    x = 62,845,063,454.32/416,206.11
  6. Step 6: Final answer
    x = 150,995.05

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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.