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Finding the Fourth Proportional to 313,767.36, 433,002.32 and 170,527.41

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Solution

The fourth proportional to 313,767.36, 433,002.32 and 170,527.41 is: 235,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,767.36 : 433,002.32 = 170,527.41 : x
  2. Step 2: Convert to fraction form
    313,767.36/433,002.32 = 170,527.41/x
  3. Step 3: Cross multiply
    313,767.36x = 433,002.32 × 170,527.41
  4. Step 4: Simplify right side
    313,767.36x = 73,838,764,153.59
  5. Step 5: Solve for x
    x = 73,838,764,153.59/313,767.36
  6. Step 6: Final answer
    x = 235,329.65

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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.