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Finding the Fourth Proportional to 313,565.78, 432,730.15 and 170,335.51

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Solution

The fourth proportional to 313,565.78, 432,730.15 and 170,335.51 is: 235,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,565.78 : 432,730.15 = 170,335.51 : x
  2. Step 2: Convert to fraction form
    313,565.78/432,730.15 = 170,335.51/x
  3. Step 3: Cross multiply
    313,565.78x = 432,730.15 × 170,335.51
  4. Step 4: Simplify right side
    313,565.78x = 73,709,309,284.96
  5. Step 5: Solve for x
    x = 73,709,309,284.96/313,565.78
  6. Step 6: Final answer
    x = 235,068.09

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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.