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Finding the Fourth Proportional to 277,522.88, 416,208.70 and 77,830.88

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Solution

The fourth proportional to 277,522.88, 416,208.70 and 77,830.88 is: 116,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,522.88 : 416,208.70 = 77,830.88 : x
  2. Step 2: Convert to fraction form
    277,522.88/416,208.70 = 77,830.88/x
  3. Step 3: Cross multiply
    277,522.88x = 416,208.70 × 77,830.88
  4. Step 4: Simplify right side
    277,522.88x = 32,393,889,384.66
  5. Step 5: Solve for x
    x = 32,393,889,384.66/277,522.88
  6. Step 6: Final answer
    x = 116,725.11

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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.