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Finding the Fourth Proportional to 312,685.56, 431,506.66 and 169,445.70

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Solution

The fourth proportional to 312,685.56, 431,506.66 and 169,445.70 is: 233,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,685.56 : 431,506.66 = 169,445.70 : x
  2. Step 2: Convert to fraction form
    312,685.56/431,506.66 = 169,445.70/x
  3. Step 3: Cross multiply
    312,685.56x = 431,506.66 × 169,445.70
  4. Step 4: Simplify right side
    312,685.56x = 73,116,948,058.36
  5. Step 5: Solve for x
    x = 73,116,948,058.36/312,685.56
  6. Step 6: Final answer
    x = 233,835.38

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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.