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Finding the Fourth Proportional to 401,714.26, 602,574.80 and 102,195.09

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Solution

The fourth proportional to 401,714.26, 602,574.80 and 102,195.09 is: 153,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,714.26 : 602,574.80 = 102,195.09 : x
  2. Step 2: Convert to fraction form
    401,714.26/602,574.80 = 102,195.09/x
  3. Step 3: Cross multiply
    401,714.26x = 602,574.80 × 102,195.09
  4. Step 4: Simplify right side
    401,714.26x = 61,580,185,917.73
  5. Step 5: Solve for x
    x = 61,580,185,917.73/401,714.26
  6. Step 6: Final answer
    x = 153,293.50

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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.