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Finding the Fourth Proportional to 314,840.80, 472,376.40 and 127,871.20

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Solution

The fourth proportional to 314,840.80, 472,376.40 and 127,871.20 is: 191,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,840.80 : 472,376.40 = 127,871.20 : x
  2. Step 2: Convert to fraction form
    314,840.80/472,376.40 = 127,871.20/x
  3. Step 3: Cross multiply
    314,840.80x = 472,376.40 × 127,871.20
  4. Step 4: Simplify right side
    314,840.80x = 60,403,337,119.68
  5. Step 5: Solve for x
    x = 60,403,337,119.68/314,840.80
  6. Step 6: Final answer
    x = 191,853.59

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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.