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Finding the Fourth Proportional to 314,722.80, 472,223.72 and 164,927.48

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Solution

The fourth proportional to 314,722.80, 472,223.72 and 164,927.48 is: 247,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.80 : 472,223.72 = 164,927.48 : x
  2. Step 2: Convert to fraction form
    314,722.80/472,223.72 = 164,927.48/x
  3. Step 3: Cross multiply
    314,722.80x = 472,223.72 × 164,927.48
  4. Step 4: Simplify right side
    314,722.80x = 77,882,666,187.03
  5. Step 5: Solve for x
    x = 77,882,666,187.03/314,722.80
  6. Step 6: Final answer
    x = 247,464.33

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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.