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Finding the Fourth Proportional to 524,064.42, 786,262.65 and 187,097.61

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Solution

The fourth proportional to 524,064.42, 786,262.65 and 187,097.61 is: 280,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,064.42 : 786,262.65 = 187,097.61 : x
  2. Step 2: Convert to fraction form
    524,064.42/786,262.65 = 187,097.61/x
  3. Step 3: Cross multiply
    524,064.42x = 786,262.65 × 187,097.61
  4. Step 4: Simplify right side
    524,064.42x = 147,107,862,647.27
  5. Step 5: Solve for x
    x = 147,107,862,647.27/524,064.42
  6. Step 6: Final answer
    x = 280,705.69

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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.