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Finding the Fourth Proportional to 501,352.21, 752,046.14 and 164,400.85

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Solution

The fourth proportional to 501,352.21, 752,046.14 and 164,400.85 is: 246,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,352.21 : 752,046.14 = 164,400.85 : x
  2. Step 2: Convert to fraction form
    501,352.21/752,046.14 = 164,400.85/x
  3. Step 3: Cross multiply
    501,352.21x = 752,046.14 × 164,400.85
  4. Step 4: Simplify right side
    501,352.21x = 123,637,024,655.22
  5. Step 5: Solve for x
    x = 123,637,024,655.22/501,352.21
  6. Step 6: Final answer
    x = 246,607.12

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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.