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Finding the Fourth Proportional to 342,644.72, 514,072.26 and 153,264.38

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Solution

The fourth proportional to 342,644.72, 514,072.26 and 153,264.38 is: 229,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,644.72 : 514,072.26 = 153,264.38 : x
  2. Step 2: Convert to fraction form
    342,644.72/514,072.26 = 153,264.38/x
  3. Step 3: Cross multiply
    342,644.72x = 514,072.26 × 153,264.38
  4. Step 4: Simplify right side
    342,644.72x = 78,788,963,633.74
  5. Step 5: Solve for x
    x = 78,788,963,633.74/342,644.72
  6. Step 6: Final answer
    x = 229,943.61

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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.