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Finding the Fourth Proportional to 277,642.24, 416,677.28 and 144,556

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Solution

The fourth proportional to 277,642.24, 416,677.28 and 144,556 is: 216,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,642.24 : 416,677.28 = 144,556 : x
  2. Step 2: Convert to fraction form
    277,642.24/416,677.28 = 144,556/x
  3. Step 3: Cross multiply
    277,642.24x = 416,677.28 × 144,556
  4. Step 4: Simplify right side
    277,642.24x = 60,233,200,887.68
  5. Step 5: Solve for x
    x = 60,233,200,887.68/277,642.24
  6. Step 6: Final answer
    x = 216,945.38

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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.