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Finding the Fourth Proportional to 312,444.80, 468,570.36 and 112,739.24

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Solution

The fourth proportional to 312,444.80, 468,570.36 and 112,739.24 is: 169,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,444.80 : 468,570.36 = 112,739.24 : x
  2. Step 2: Convert to fraction form
    312,444.80/468,570.36 = 112,739.24/x
  3. Step 3: Cross multiply
    312,444.80x = 468,570.36 × 112,739.24
  4. Step 4: Simplify right side
    312,444.80x = 52,826,266,272.93
  5. Step 5: Solve for x
    x = 52,826,266,272.93/312,444.80
  6. Step 6: Final answer
    x = 169,073.92

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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.