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Finding the Fourth Proportional to 277,663.92, 383,174.40 and 150,339.24

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Solution

The fourth proportional to 277,663.92, 383,174.40 and 150,339.24 is: 207,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,663.92 : 383,174.40 = 150,339.24 : x
  2. Step 2: Convert to fraction form
    277,663.92/383,174.40 = 150,339.24/x
  3. Step 3: Cross multiply
    277,663.92x = 383,174.40 × 150,339.24
  4. Step 4: Simplify right side
    277,663.92x = 57,606,148,083.46
  5. Step 5: Solve for x
    x = 57,606,148,083.46/277,663.92
  6. Step 6: Final answer
    x = 207,467.17

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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.