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Finding the Fourth Proportional to 424,715.14, 637,182.97 and 158,477.66

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Solution

The fourth proportional to 424,715.14, 637,182.97 and 158,477.66 is: 237,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,715.14 : 637,182.97 = 158,477.66 : x
  2. Step 2: Convert to fraction form
    424,715.14/637,182.97 = 158,477.66/x
  3. Step 3: Cross multiply
    424,715.14x = 637,182.97 × 158,477.66
  4. Step 4: Simplify right side
    424,715.14x = 100,979,266,077.45
  5. Step 5: Solve for x
    x = 100,979,266,077.45/424,715.14
  6. Step 6: Final answer
    x = 237,757.63

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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.