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Finding the Fourth Proportional to 313,275.51, 469,913.27 and 76,615.38

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Solution

The fourth proportional to 313,275.51, 469,913.27 and 76,615.38 is: 114,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,275.51 : 469,913.27 = 76,615.38 : x
  2. Step 2: Convert to fraction form
    313,275.51/469,913.27 = 76,615.38/x
  3. Step 3: Cross multiply
    313,275.51x = 469,913.27 × 76,615.38
  4. Step 4: Simplify right side
    313,275.51x = 36,002,583,365.02
  5. Step 5: Solve for x
    x = 36,002,583,365.02/313,275.51
  6. Step 6: Final answer
    x = 114,923.07

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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.