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Finding the Fourth Proportional to 317,058.76, 475,640.66 and 157,142.22

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Solution

The fourth proportional to 317,058.76, 475,640.66 and 157,142.22 is: 235,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,058.76 : 475,640.66 = 157,142.22 : x
  2. Step 2: Convert to fraction form
    317,058.76/475,640.66 = 157,142.22/x
  3. Step 3: Cross multiply
    317,058.76x = 475,640.66 × 157,142.22
  4. Step 4: Simplify right side
    317,058.76x = 74,743,229,234.67
  5. Step 5: Solve for x
    x = 74,743,229,234.67/317,058.76
  6. Step 6: Final answer
    x = 235,739.36

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1.5x scale

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.