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Finding the Fourth Proportional to 314,921.40, 472,410.90 and 127,894.20

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Solution

The fourth proportional to 314,921.40, 472,410.90 and 127,894.20 is: 191,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,921.40 : 472,410.90 = 127,894.20 : x
  2. Step 2: Convert to fraction form
    314,921.40/472,410.90 = 127,894.20/x
  3. Step 3: Cross multiply
    314,921.40x = 472,410.90 × 127,894.20
  4. Step 4: Simplify right side
    314,921.40x = 60,418,614,126.78
  5. Step 5: Solve for x
    x = 60,418,614,126.78/314,921.40
  6. Step 6: Final answer
    x = 191,853.00

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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.