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Finding the Fourth Proportional to 314,744.30, 472,255.93 and 164,948.94

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Solution

The fourth proportional to 314,744.30, 472,255.93 and 164,948.94 is: 247,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,744.30 : 472,255.93 = 164,948.94 : x
  2. Step 2: Convert to fraction form
    314,744.30/472,255.93 = 164,948.94/x
  3. Step 3: Cross multiply
    314,744.30x = 472,255.93 × 164,948.94
  4. Step 4: Simplify right side
    314,744.30x = 77,898,115,062.21
  5. Step 5: Solve for x
    x = 77,898,115,062.21/314,744.30
  6. Step 6: Final answer
    x = 247,496.51

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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.