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Finding the Fourth Proportional to 524,254, 786,181.17 and 187,231.72

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Solution

The fourth proportional to 524,254, 786,181.17 and 187,231.72 is: 280,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,254 : 786,181.17 = 187,231.72 : x
  2. Step 2: Convert to fraction form
    524,254/786,181.17 = 187,231.72/x
  3. Step 3: Cross multiply
    524,254x = 786,181.17 × 187,231.72
  4. Step 4: Simplify right side
    524,254x = 147,198,052,690.71
  5. Step 5: Solve for x
    x = 147,198,052,690.71/524,254
  6. Step 6: Final answer
    x = 280,776.21

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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.