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Finding the Fourth Proportional to 277,246.86, 415,896.48 and 77,567.28

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Solution

The fourth proportional to 277,246.86, 415,896.48 and 77,567.28 is: 116,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,246.86 : 415,896.48 = 77,567.28 : x
  2. Step 2: Convert to fraction form
    277,246.86/415,896.48 = 77,567.28/x
  3. Step 3: Cross multiply
    277,246.86x = 415,896.48 × 77,567.28
  4. Step 4: Simplify right side
    277,246.86x = 32,259,958,715.17
  5. Step 5: Solve for x
    x = 32,259,958,715.17/277,246.86
  6. Step 6: Final answer
    x = 116,358.25

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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.