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Finding the Fourth Proportional to 401,285.33, 601,927.17 and 97,677.08

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Solution

The fourth proportional to 401,285.33, 601,927.17 and 97,677.08 is: 146,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,285.33 : 601,927.17 = 97,677.08 : x
  2. Step 2: Convert to fraction form
    401,285.33/601,927.17 = 97,677.08/x
  3. Step 3: Cross multiply
    401,285.33x = 601,927.17 × 97,677.08
  4. Step 4: Simplify right side
    401,285.33x = 58,794,488,338.26
  5. Step 5: Solve for x
    x = 58,794,488,338.26/401,285.33
  6. Step 6: Final answer
    x = 146,515.42

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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.