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Finding the Fourth Proportional to 524,231.57, 785,165.97 and 367,161.23

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Solution

The fourth proportional to 524,231.57, 785,165.97 and 367,161.23 is: 549,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,231.57 : 785,165.97 = 367,161.23 : x
  2. Step 2: Convert to fraction form
    524,231.57/785,165.97 = 367,161.23/x
  3. Step 3: Cross multiply
    524,231.57x = 785,165.97 × 367,161.23
  4. Step 4: Simplify right side
    524,231.57x = 288,282,506,639.11
  5. Step 5: Solve for x
    x = 288,282,506,639.11/524,231.57
  6. Step 6: Final answer
    x = 549,914.43

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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.