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Finding the Fourth Proportional to 524,510.69, 785,074.14 and 271,443.02

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Solution

The fourth proportional to 524,510.69, 785,074.14 and 271,443.02 is: 406,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,510.69 : 785,074.14 = 271,443.02 : x
  2. Step 2: Convert to fraction form
    524,510.69/785,074.14 = 271,443.02/x
  3. Step 3: Cross multiply
    524,510.69x = 785,074.14 × 271,443.02
  4. Step 4: Simplify right side
    524,510.69x = 213,102,891,560.13
  5. Step 5: Solve for x
    x = 213,102,891,560.13/524,510.69
  6. Step 6: Final answer
    x = 406,288.94

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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.