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Finding the Fourth Proportional to 524,015.10, 786,188.84 and 187,048.35

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Solution

The fourth proportional to 524,015.10, 786,188.84 and 187,048.35 is: 280,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,015.10 : 786,188.84 = 187,048.35 : x
  2. Step 2: Convert to fraction form
    524,015.10/786,188.84 = 187,048.35/x
  3. Step 3: Cross multiply
    524,015.10x = 786,188.84 × 187,048.35
  4. Step 4: Simplify right side
    524,015.10x = 147,055,324,375.17
  5. Step 5: Solve for x
    x = 147,055,324,375.17/524,015.10
  6. Step 6: Final answer
    x = 280,631.85

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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.