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Finding the Fourth Proportional to 475,097.40, 713,049.30 and 194,815.80

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Solution

The fourth proportional to 475,097.40, 713,049.30 and 194,815.80 is: 292,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,097.40 : 713,049.30 = 194,815.80 : x
  2. Step 2: Convert to fraction form
    475,097.40/713,049.30 = 194,815.80/x
  3. Step 3: Cross multiply
    475,097.40x = 713,049.30 × 194,815.80
  4. Step 4: Simplify right side
    475,097.40x = 138,913,269,818.94
  5. Step 5: Solve for x
    x = 138,913,269,818.94/475,097.40
  6. Step 6: Final answer
    x = 292,389.03

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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.