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Finding the Fourth Proportional to 312,470.98, 468,690.77 and 110,077.11

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Solution

The fourth proportional to 312,470.98, 468,690.77 and 110,077.11 is: 165,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.98 : 468,690.77 = 110,077.11 : x
  2. Step 2: Convert to fraction form
    312,470.98/468,690.77 = 110,077.11/x
  3. Step 3: Cross multiply
    312,470.98x = 468,690.77 × 110,077.11
  4. Step 4: Simplify right side
    312,470.98x = 51,592,125,720.47
  5. Step 5: Solve for x
    x = 51,592,125,720.47/312,470.98
  6. Step 6: Final answer
    x = 165,110.13

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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.