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Finding the Fourth Proportional to 314,858.40, 472,287.60 and 165,040.80

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Solution

The fourth proportional to 314,858.40, 472,287.60 and 165,040.80 is: 247,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,858.40 : 472,287.60 = 165,040.80 : x
  2. Step 2: Convert to fraction form
    314,858.40/472,287.60 = 165,040.80/x
  3. Step 3: Cross multiply
    314,858.40x = 472,287.60 × 165,040.80
  4. Step 4: Simplify right side
    314,858.40x = 77,946,723,334.08
  5. Step 5: Solve for x
    x = 77,946,723,334.08/314,858.40
  6. Step 6: Final answer
    x = 247,561.20

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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.