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Finding the Fourth Proportional to 277,224.40, 415,773.84 and 127,320.58

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Solution

The fourth proportional to 277,224.40, 415,773.84 and 127,320.58 is: 190,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,224.40 : 415,773.84 = 127,320.58 : x
  2. Step 2: Convert to fraction form
    277,224.40/415,773.84 = 127,320.58/x
  3. Step 3: Cross multiply
    277,224.40x = 415,773.84 × 127,320.58
  4. Step 4: Simplify right side
    277,224.40x = 52,936,566,457.63
  5. Step 5: Solve for x
    x = 52,936,566,457.63/277,224.40
  6. Step 6: Final answer
    x = 190,952.05

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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.