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Finding the Fourth Proportional to 524,056.26, 786,250.53 and 187,089.46

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Solution

The fourth proportional to 524,056.26, 786,250.53 and 187,089.46 is: 280,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,056.26 : 786,250.53 = 187,089.46 : x
  2. Step 2: Convert to fraction form
    524,056.26/786,250.53 = 187,089.46/x
  3. Step 3: Cross multiply
    524,056.26x = 786,250.53 × 187,089.46
  4. Step 4: Simplify right side
    524,056.26x = 147,099,187,082.41
  5. Step 5: Solve for x
    x = 147,099,187,082.41/524,056.26
  6. Step 6: Final answer
    x = 280,693.50

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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.