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Finding the Fourth Proportional to 313,742.92, 432,967.94 and 170,502.92

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Solution

The fourth proportional to 313,742.92, 432,967.94 and 170,502.92 is: 235,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,742.92 : 432,967.94 = 170,502.92 : x
  2. Step 2: Convert to fraction form
    313,742.92/432,967.94 = 170,502.92/x
  3. Step 3: Cross multiply
    313,742.92x = 432,967.94 × 170,502.92
  4. Step 4: Simplify right side
    313,742.92x = 73,822,298,036.38
  5. Step 5: Solve for x
    x = 73,822,298,036.38/313,742.92
  6. Step 6: Final answer
    x = 235,295.50

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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.