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Finding the Fourth Proportional to 277,724.64, 383,360.64 and 182,262.24

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Solution

The fourth proportional to 277,724.64, 383,360.64 and 182,262.24 is: 251,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,724.64 : 383,360.64 = 182,262.24 : x
  2. Step 2: Convert to fraction form
    277,724.64/383,360.64 = 182,262.24/x
  3. Step 3: Cross multiply
    277,724.64x = 383,360.64 × 182,262.24
  4. Step 4: Simplify right side
    277,724.64x = 69,872,168,974.23
  5. Step 5: Solve for x
    x = 69,872,168,974.23/277,724.64
  6. Step 6: Final answer
    x = 251,587.94

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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.