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Finding the Fourth Proportional to 415,843.58, 573,870.74 and 234,559.11

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Solution

The fourth proportional to 415,843.58, 573,870.74 and 234,559.11 is: 323,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,843.58 : 573,870.74 = 234,559.11 : x
  2. Step 2: Convert to fraction form
    415,843.58/573,870.74 = 234,559.11/x
  3. Step 3: Cross multiply
    415,843.58x = 573,870.74 × 234,559.11
  4. Step 4: Simplify right side
    415,843.58x = 134,606,610,029.44
  5. Step 5: Solve for x
    x = 134,606,610,029.44/415,843.58
  6. Step 6: Final answer
    x = 323,695.29

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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.