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Finding the Fourth Proportional to 524,949.14, 787,771.12 and 288,456.50

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Solution

The fourth proportional to 524,949.14, 787,771.12 and 288,456.50 is: 432,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,949.14 : 787,771.12 = 288,456.50 : x
  2. Step 2: Convert to fraction form
    524,949.14/787,771.12 = 288,456.50/x
  3. Step 3: Cross multiply
    524,949.14x = 787,771.12 × 288,456.50
  4. Step 4: Simplify right side
    524,949.14x = 227,237,700,076.28
  5. Step 5: Solve for x
    x = 227,237,700,076.28/524,949.14
  6. Step 6: Final answer
    x = 432,875.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.