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Finding the Fourth Proportional to 524,161.62, 785,681.73 and 271,187.46

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Solution

The fourth proportional to 524,161.62, 785,681.73 and 271,187.46 is: 406,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,161.62 : 785,681.73 = 271,187.46 : x
  2. Step 2: Convert to fraction form
    524,161.62/785,681.73 = 271,187.46/x
  3. Step 3: Cross multiply
    524,161.62x = 785,681.73 × 271,187.46
  4. Step 4: Simplify right side
    524,161.62x = 213,067,032,727.11
  5. Step 5: Solve for x
    x = 213,067,032,727.11/524,161.62
  6. Step 6: Final answer
    x = 406,491.10

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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.