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Finding the Fourth Proportional to 316,367.31, 473,954.70 and 156,255.81

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Solution

The fourth proportional to 316,367.31, 473,954.70 and 156,255.81 is: 234,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,367.31 : 473,954.70 = 156,255.81 : x
  2. Step 2: Convert to fraction form
    316,367.31/473,954.70 = 156,255.81/x
  3. Step 3: Cross multiply
    316,367.31x = 473,954.70 × 156,255.81
  4. Step 4: Simplify right side
    316,367.31x = 74,058,175,551.81
  5. Step 5: Solve for x
    x = 74,058,175,551.81/316,367.31
  6. Step 6: Final answer
    x = 234,089.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.