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Finding the Fourth Proportional to 401,658.98, 601,538.55 and 348,781.10

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Solution

The fourth proportional to 401,658.98, 601,538.55 and 348,781.10 is: 522,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,658.98 : 601,538.55 = 348,781.10 : x
  2. Step 2: Convert to fraction form
    401,658.98/601,538.55 = 348,781.10/x
  3. Step 3: Cross multiply
    401,658.98x = 601,538.55 × 348,781.10
  4. Step 4: Simplify right side
    401,658.98x = 209,805,277,161.41
  5. Step 5: Solve for x
    x = 209,805,277,161.41/401,658.98
  6. Step 6: Final answer
    x = 522,346.79

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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.