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Finding the Fourth Proportional to 334,751.78, 461,961.06 and 183,848.78

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Solution

The fourth proportional to 334,751.78, 461,961.06 and 183,848.78 is: 253,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,751.78 : 461,961.06 = 183,848.78 : x
  2. Step 2: Convert to fraction form
    334,751.78/461,961.06 = 183,848.78/x
  3. Step 3: Cross multiply
    334,751.78x = 461,961.06 × 183,848.78
  4. Step 4: Simplify right side
    334,751.78x = 84,930,977,288.51
  5. Step 5: Solve for x
    x = 84,930,977,288.51/334,751.78
  6. Step 6: Final answer
    x = 253,713.30

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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.