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Finding the Fourth Proportional to 313,565.27, 432,728.12 and 170,333.51

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Solution

The fourth proportional to 313,565.27, 432,728.12 and 170,333.51 is: 235,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,565.27 : 432,728.12 = 170,333.51 : x
  2. Step 2: Convert to fraction form
    313,565.27/432,728.12 = 170,333.51/x
  3. Step 3: Cross multiply
    313,565.27x = 432,728.12 × 170,333.51
  4. Step 4: Simplify right side
    313,565.27x = 73,708,099,555.30
  5. Step 5: Solve for x
    x = 73,708,099,555.30/313,565.27
  6. Step 6: Final answer
    x = 235,064.62

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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.