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Finding the Fourth Proportional to 524,055.89, 786,249.96 and 187,089.07

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Solution

The fourth proportional to 524,055.89, 786,249.96 and 187,089.07 is: 280,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,055.89 : 786,249.96 = 187,089.07 : x
  2. Step 2: Convert to fraction form
    524,055.89/786,249.96 = 187,089.07/x
  3. Step 3: Cross multiply
    524,055.89x = 786,249.96 × 187,089.07
  4. Step 4: Simplify right side
    524,055.89x = 147,098,773,803.94
  5. Step 5: Solve for x
    x = 147,098,773,803.94/524,055.89
  6. Step 6: Final answer
    x = 280,692.91

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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.