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Finding the Fourth Proportional to 277,599.47, 416,336.94 and 127,695.83

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Solution

The fourth proportional to 277,599.47, 416,336.94 and 127,695.83 is: 191,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,599.47 : 416,336.94 = 127,695.83 : x
  2. Step 2: Convert to fraction form
    277,599.47/416,336.94 = 127,695.83/x
  3. Step 3: Cross multiply
    277,599.47x = 416,336.94 × 127,695.83
  4. Step 4: Simplify right side
    277,599.47x = 53,164,489,031.28
  5. Step 5: Solve for x
    x = 53,164,489,031.28/277,599.47
  6. Step 6: Final answer
    x = 191,515.10

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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.