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Finding the Fourth Proportional to 277,544.79, 416,343.31 and 77,864.40

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Solution

The fourth proportional to 277,544.79, 416,343.31 and 77,864.40 is: 116,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,544.79 : 416,343.31 = 77,864.40 : x
  2. Step 2: Convert to fraction form
    277,544.79/416,343.31 = 77,864.40/x
  3. Step 3: Cross multiply
    277,544.79x = 416,343.31 × 77,864.40
  4. Step 4: Simplify right side
    277,544.79x = 32,418,321,832.50
  5. Step 5: Solve for x
    x = 32,418,321,832.50/277,544.79
  6. Step 6: Final answer
    x = 116,803.93

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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.