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Finding the Fourth Proportional to 277,316.83, 415,970.24 and 77,634.18

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Solution

The fourth proportional to 277,316.83, 415,970.24 and 77,634.18 is: 116,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,316.83 : 415,970.24 = 77,634.18 : x
  2. Step 2: Convert to fraction form
    277,316.83/415,970.24 = 77,634.18/x
  3. Step 3: Cross multiply
    277,316.83x = 415,970.24 × 77,634.18
  4. Step 4: Simplify right side
    277,316.83x = 32,293,508,098.63
  5. Step 5: Solve for x
    x = 32,293,508,098.63/277,316.83
  6. Step 6: Final answer
    x = 116,449.87

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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.