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Finding the Fourth Proportional to 401,714.45, 602,575.20 and 102,195.34

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Solution

The fourth proportional to 401,714.45, 602,575.20 and 102,195.34 is: 153,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,714.45 : 602,575.20 = 102,195.34 : x
  2. Step 2: Convert to fraction form
    401,714.45/602,575.20 = 102,195.34/x
  3. Step 3: Cross multiply
    401,714.45x = 602,575.20 × 102,195.34
  4. Step 4: Simplify right side
    401,714.45x = 61,580,375,933.13
  5. Step 5: Solve for x
    x = 61,580,375,933.13/401,714.45
  6. Step 6: Final answer
    x = 153,293.90

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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.