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Finding the Fourth Proportional to 524,835.21, 787,168.44 and 187,813.11

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Solution

The fourth proportional to 524,835.21, 787,168.44 and 187,813.11 is: 281,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,835.21 : 787,168.44 = 187,813.11 : x
  2. Step 2: Convert to fraction form
    524,835.21/787,168.44 = 187,813.11/x
  3. Step 3: Cross multiply
    524,835.21x = 787,168.44 × 187,813.11
  4. Step 4: Simplify right side
    524,835.21x = 147,840,552,810.25
  5. Step 5: Solve for x
    x = 147,840,552,810.25/524,835.21
  6. Step 6: Final answer
    x = 281,689.47

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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.