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Finding the Fourth Proportional to 277,716.94, 383,248.80 and 150,392.14

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Solution

The fourth proportional to 277,716.94, 383,248.80 and 150,392.14 is: 207,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,716.94 : 383,248.80 = 150,392.14 : x
  2. Step 2: Convert to fraction form
    277,716.94/383,248.80 = 150,392.14/x
  3. Step 3: Cross multiply
    277,716.94x = 383,248.80 × 150,392.14
  4. Step 4: Simplify right side
    277,716.94x = 57,637,607,184.43
  5. Step 5: Solve for x
    x = 57,637,607,184.43/277,716.94
  6. Step 6: Final answer
    x = 207,540.84

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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.