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Finding the Fourth Proportional to 315,086.80, 472,937.40 and 157,493.20

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Solution

The fourth proportional to 315,086.80, 472,937.40 and 157,493.20 is: 236,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,086.80 : 472,937.40 = 157,493.20 : x
  2. Step 2: Convert to fraction form
    315,086.80/472,937.40 = 157,493.20/x
  3. Step 3: Cross multiply
    315,086.80x = 472,937.40 × 157,493.20
  4. Step 4: Simplify right side
    315,086.80x = 74,484,424,525.68
  5. Step 5: Solve for x
    x = 74,484,424,525.68/315,086.80
  6. Step 6: Final answer
    x = 236,393.35

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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.