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Finding the Fourth Proportional to 314,828.80, 472,243.20 and 283,724.80

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Solution

The fourth proportional to 314,828.80, 472,243.20 and 283,724.80 is: 425,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,828.80 : 472,243.20 = 283,724.80 : x
  2. Step 2: Convert to fraction form
    314,828.80/472,243.20 = 283,724.80/x
  3. Step 3: Cross multiply
    314,828.80x = 472,243.20 × 283,724.80
  4. Step 4: Simplify right side
    314,828.80x = 133,987,107,471.36
  5. Step 5: Solve for x
    x = 133,987,107,471.36/314,828.80
  6. Step 6: Final answer
    x = 425,587.20

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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.