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Finding the Fourth Proportional to 313,564.64, 432,727.26 and 170,332.88

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Solution

The fourth proportional to 313,564.64, 432,727.26 and 170,332.88 is: 235,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,564.64 : 432,727.26 = 170,332.88 : x
  2. Step 2: Convert to fraction form
    313,564.64/432,727.26 = 170,332.88/x
  3. Step 3: Cross multiply
    313,564.64x = 432,727.26 × 170,332.88
  4. Step 4: Simplify right side
    313,564.64x = 73,707,680,893.38
  5. Step 5: Solve for x
    x = 73,707,680,893.38/313,564.64
  6. Step 6: Final answer
    x = 235,063.75

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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.