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Finding the Fourth Proportional to 277,838.15, 383,416.58 and 150,513.71

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Solution

The fourth proportional to 277,838.15, 383,416.58 and 150,513.71 is: 207,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.15 : 383,416.58 = 150,513.71 : x
  2. Step 2: Convert to fraction form
    277,838.15/383,416.58 = 150,513.71/x
  3. Step 3: Cross multiply
    277,838.15x = 383,416.58 × 150,513.71
  4. Step 4: Simplify right side
    277,838.15x = 57,709,451,178.74
  5. Step 5: Solve for x
    x = 57,709,451,178.74/277,838.15
  6. Step 6: Final answer
    x = 207,708.88

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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.