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Finding the Fourth Proportional to 313,274.47, 432,317.67 and 170,034.51

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Solution

The fourth proportional to 313,274.47, 432,317.67 and 170,034.51 is: 234,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,274.47 : 432,317.67 = 170,034.51 : x
  2. Step 2: Convert to fraction form
    313,274.47/432,317.67 = 170,034.51/x
  3. Step 3: Cross multiply
    313,274.47x = 432,317.67 × 170,034.51
  4. Step 4: Simplify right side
    313,274.47x = 73,508,923,182.79
  5. Step 5: Solve for x
    x = 73,508,923,182.79/313,274.47
  6. Step 6: Final answer
    x = 234,647.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.