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Finding the Fourth Proportional to 554,123.92, 830,981.76 and 199,042.60

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Solution

The fourth proportional to 554,123.92, 830,981.76 and 199,042.60 is: 298,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,123.92 : 830,981.76 = 199,042.60 : x
  2. Step 2: Convert to fraction form
    554,123.92/830,981.76 = 199,042.60/x
  3. Step 3: Cross multiply
    554,123.92x = 830,981.76 × 199,042.60
  4. Step 4: Simplify right side
    554,123.92x = 165,400,770,062.98
  5. Step 5: Solve for x
    x = 165,400,770,062.98/554,123.92
  6. Step 6: Final answer
    x = 298,490.58

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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.