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Finding the Fourth Proportional to 277,906.17, 383,510.59 and 150,581.76

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Solution

The fourth proportional to 277,906.17, 383,510.59 and 150,581.76 is: 207,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,906.17 : 383,510.59 = 150,581.76 : x
  2. Step 2: Convert to fraction form
    277,906.17/383,510.59 = 150,581.76/x
  3. Step 3: Cross multiply
    277,906.17x = 383,510.59 × 150,581.76
  4. Step 4: Simplify right side
    277,906.17x = 57,749,699,620.84
  5. Step 5: Solve for x
    x = 57,749,699,620.84/277,906.17
  6. Step 6: Final answer
    x = 207,802.87

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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.