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Finding the Fourth Proportional to 314,838.40, 472,257.60 and 165,020.80

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Solution

The fourth proportional to 314,838.40, 472,257.60 and 165,020.80 is: 247,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,838.40 : 472,257.60 = 165,020.80 : x
  2. Step 2: Convert to fraction form
    314,838.40/472,257.60 = 165,020.80/x
  3. Step 3: Cross multiply
    314,838.40x = 472,257.60 × 165,020.80
  4. Step 4: Simplify right side
    314,838.40x = 77,932,326,958.08
  5. Step 5: Solve for x
    x = 77,932,326,958.08/314,838.40
  6. Step 6: Final answer
    x = 247,531.20

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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.