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Finding the Fourth Proportional to 314,749.80, 472,264.20 and 164,954.52

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Solution

The fourth proportional to 314,749.80, 472,264.20 and 164,954.52 is: 247,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,749.80 : 472,264.20 = 164,954.52 : x
  2. Step 2: Convert to fraction form
    314,749.80/472,264.20 = 164,954.52/x
  3. Step 3: Cross multiply
    314,749.80x = 472,264.20 × 164,954.52
  4. Step 4: Simplify right side
    314,749.80x = 77,902,114,424.18
  5. Step 5: Solve for x
    x = 77,902,114,424.18/314,749.80
  6. Step 6: Final answer
    x = 247,504.89

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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.