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Finding the Fourth Proportional to 524,892, 787,454.64 and 192,468

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Solution

The fourth proportional to 524,892, 787,454.64 and 192,468 is: 288,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,892 : 787,454.64 = 192,468 : x
  2. Step 2: Convert to fraction form
    524,892/787,454.64 = 192,468/x
  3. Step 3: Cross multiply
    524,892x = 787,454.64 × 192,468
  4. Step 4: Simplify right side
    524,892x = 151,559,819,651.52
  5. Step 5: Solve for x
    x = 151,559,819,651.52/524,892
  6. Step 6: Final answer
    x = 288,744.77

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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.