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Finding the Fourth Proportional to 524,712.25, 787,068.38 and 289,549.61

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Solution

The fourth proportional to 524,712.25, 787,068.38 and 289,549.61 is: 434,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,712.25 : 787,068.38 = 289,549.61 : x
  2. Step 2: Convert to fraction form
    524,712.25/787,068.38 = 289,549.61/x
  3. Step 3: Cross multiply
    524,712.25x = 787,068.38 × 289,549.61
  4. Step 4: Simplify right side
    524,712.25x = 227,895,337,089.24
  5. Step 5: Solve for x
    x = 227,895,337,089.24/524,712.25
  6. Step 6: Final answer
    x = 434,324.41

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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.