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Finding the Fourth Proportional to 277,667.19, 416,516.36 and 77,972.01

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Solution

The fourth proportional to 277,667.19, 416,516.36 and 77,972.01 is: 116,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,667.19 : 416,516.36 = 77,972.01 : x
  2. Step 2: Convert to fraction form
    277,667.19/416,516.36 = 77,972.01/x
  3. Step 3: Cross multiply
    277,667.19x = 416,516.36 × 77,972.01
  4. Step 4: Simplify right side
    277,667.19x = 32,476,616,273.88
  5. Step 5: Solve for x
    x = 32,476,616,273.88/277,667.19
  6. Step 6: Final answer
    x = 116,962.38

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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.