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Finding the Fourth Proportional to 469,924.92, 705,587.22 and 189,988.92

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Solution

The fourth proportional to 469,924.92, 705,587.22 and 189,988.92 is: 285,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,924.92 : 705,587.22 = 189,988.92 : x
  2. Step 2: Convert to fraction form
    469,924.92/705,587.22 = 189,988.92/x
  3. Step 3: Cross multiply
    469,924.92x = 705,587.22 × 189,988.92
  4. Step 4: Simplify right side
    469,924.92x = 134,053,753,893.60
  5. Step 5: Solve for x
    x = 134,053,753,893.60/469,924.92
  6. Step 6: Final answer
    x = 285,266.32

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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.