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Finding the Fourth Proportional to 524,435.94, 786,658.46 and 169,450

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Solution

The fourth proportional to 524,435.94, 786,658.46 and 169,450 is: 254,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,435.94 : 786,658.46 = 169,450 : x
  2. Step 2: Convert to fraction form
    524,435.94/786,658.46 = 169,450/x
  3. Step 3: Cross multiply
    524,435.94x = 786,658.46 × 169,450
  4. Step 4: Simplify right side
    524,435.94x = 133,299,276,047
  5. Step 5: Solve for x
    x = 133,299,276,047/524,435.94
  6. Step 6: Final answer
    x = 254,176.47

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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.