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Finding the Fourth Proportional to 559,214.51, 838,946.30 and 204,227.96

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Solution

The fourth proportional to 559,214.51, 838,946.30 and 204,227.96 is: 306,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,214.51 : 838,946.30 = 204,227.96 : x
  2. Step 2: Convert to fraction form
    559,214.51/838,946.30 = 204,227.96/x
  3. Step 3: Cross multiply
    559,214.51x = 838,946.30 × 204,227.96
  4. Step 4: Simplify right side
    559,214.51x = 171,336,286,182.68
  5. Step 5: Solve for x
    x = 171,336,286,182.68/559,214.51
  6. Step 6: Final answer
    x = 306,387.41

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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.