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Finding the Fourth Proportional to 401,458.48, 601,662.78 and 164,523.76

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Solution

The fourth proportional to 401,458.48, 601,662.78 and 164,523.76 is: 246,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,458.48 : 601,662.78 = 164,523.76 : x
  2. Step 2: Convert to fraction form
    401,458.48/601,662.78 = 164,523.76/x
  3. Step 3: Cross multiply
    401,458.48x = 601,662.78 × 164,523.76
  4. Step 4: Simplify right side
    401,458.48x = 98,987,822,817.65
  5. Step 5: Solve for x
    x = 98,987,822,817.65/401,458.48
  6. Step 6: Final answer
    x = 246,570.51

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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.