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Finding the Fourth Proportional to 312,365.24, 468,547.86 and 75,707.92

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Solution

The fourth proportional to 312,365.24, 468,547.86 and 75,707.92 is: 113,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,365.24 : 468,547.86 = 75,707.92 : x
  2. Step 2: Convert to fraction form
    312,365.24/468,547.86 = 75,707.92/x
  3. Step 3: Cross multiply
    312,365.24x = 468,547.86 × 75,707.92
  4. Step 4: Simplify right side
    312,365.24x = 35,472,782,729.68
  5. Step 5: Solve for x
    x = 35,472,782,729.68/312,365.24
  6. Step 6: Final answer
    x = 113,561.88

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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.