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Finding the Fourth Proportional to 277,718.91, 383,251.34 and 150,394.47

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Solution

The fourth proportional to 277,718.91, 383,251.34 and 150,394.47 is: 207,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,718.91 : 383,251.34 = 150,394.47 : x
  2. Step 2: Convert to fraction form
    277,718.91/383,251.34 = 150,394.47/x
  3. Step 3: Cross multiply
    277,718.91x = 383,251.34 × 150,394.47
  4. Step 4: Simplify right side
    277,718.91x = 57,638,881,404.12
  5. Step 5: Solve for x
    x = 57,638,881,404.12/277,718.91
  6. Step 6: Final answer
    x = 207,543.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.