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Finding the Fourth Proportional to 408,016.98, 612,024.84 and 108,497.70

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Solution

The fourth proportional to 408,016.98, 612,024.84 and 108,497.70 is: 162,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,016.98 : 612,024.84 = 108,497.70 : x
  2. Step 2: Convert to fraction form
    408,016.98/612,024.84 = 108,497.70/x
  3. Step 3: Cross multiply
    408,016.98x = 612,024.84 × 108,497.70
  4. Step 4: Simplify right side
    408,016.98x = 66,403,287,482.87
  5. Step 5: Solve for x
    x = 66,403,287,482.87/408,016.98
  6. Step 6: Final answer
    x = 162,746.38

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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.