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Finding the Fourth Proportional to 299,146.40, 412,747.28 and 182,830.14

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Solution

The fourth proportional to 299,146.40, 412,747.28 and 182,830.14 is: 252,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,146.40 : 412,747.28 = 182,830.14 : x
  2. Step 2: Convert to fraction form
    299,146.40/412,747.28 = 182,830.14/x
  3. Step 3: Cross multiply
    299,146.40x = 412,747.28 × 182,830.14
  4. Step 4: Simplify right side
    299,146.40x = 75,462,642,987.02
  5. Step 5: Solve for x
    x = 75,462,642,987.02/299,146.40
  6. Step 6: Final answer
    x = 252,259.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.