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Finding the Fourth Proportional to 277,616.52, 416,417.22 and 77,938.56

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Solution

The fourth proportional to 277,616.52, 416,417.22 and 77,938.56 is: 116,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,616.52 : 416,417.22 = 77,938.56 : x
  2. Step 2: Convert to fraction form
    277,616.52/416,417.22 = 77,938.56/x
  3. Step 3: Cross multiply
    277,616.52x = 416,417.22 × 77,938.56
  4. Step 4: Simplify right side
    277,616.52x = 32,454,958,486.00
  5. Step 5: Solve for x
    x = 32,454,958,486.00/277,616.52
  6. Step 6: Final answer
    x = 116,905.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.