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Finding the Fourth Proportional to 277,589.58, 416,322.08 and 127,685.90

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Solution

The fourth proportional to 277,589.58, 416,322.08 and 127,685.90 is: 191,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,589.58 : 416,322.08 = 127,685.90 : x
  2. Step 2: Convert to fraction form
    277,589.58/416,322.08 = 127,685.90/x
  3. Step 3: Cross multiply
    277,589.58x = 416,322.08 × 127,685.90
  4. Step 4: Simplify right side
    277,589.58x = 53,158,459,474.67
  5. Step 5: Solve for x
    x = 53,158,459,474.67/277,589.58
  6. Step 6: Final answer
    x = 191,500.20

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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.