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Finding the Fourth Proportional to 559,690.22, 839,712.83 and 199,853.19

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Solution

The fourth proportional to 559,690.22, 839,712.83 and 199,853.19 is: 299,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,690.22 : 839,712.83 = 199,853.19 : x
  2. Step 2: Convert to fraction form
    559,690.22/839,712.83 = 199,853.19/x
  3. Step 3: Cross multiply
    559,690.22x = 839,712.83 × 199,853.19
  4. Step 4: Simplify right side
    559,690.22x = 167,819,286,760.16
  5. Step 5: Solve for x
    x = 167,819,286,760.16/559,690.22
  6. Step 6: Final answer
    x = 299,843.16

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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.