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Finding the Fourth Proportional to 314,927.40, 472,419.90 and 127,900.20

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Solution

The fourth proportional to 314,927.40, 472,419.90 and 127,900.20 is: 191,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,927.40 : 472,419.90 = 127,900.20 : x
  2. Step 2: Convert to fraction form
    314,927.40/472,419.90 = 127,900.20/x
  3. Step 3: Cross multiply
    314,927.40x = 472,419.90 × 127,900.20
  4. Step 4: Simplify right side
    314,927.40x = 60,422,599,693.98
  5. Step 5: Solve for x
    x = 60,422,599,693.98/314,927.40
  6. Step 6: Final answer
    x = 191,862.00

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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.