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Finding the Fourth Proportional to 312,746, 431,587.05 and 169,502.36

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Solution

The fourth proportional to 312,746, 431,587.05 and 169,502.36 is: 233,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,746 : 431,587.05 = 169,502.36 : x
  2. Step 2: Convert to fraction form
    312,746/431,587.05 = 169,502.36/x
  3. Step 3: Cross multiply
    312,746x = 431,587.05 × 169,502.36
  4. Step 4: Simplify right side
    312,746x = 73,155,023,520.44
  5. Step 5: Solve for x
    x = 73,155,023,520.44/312,746
  6. Step 6: Final answer
    x = 233,911.94

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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.