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Finding the Fourth Proportional to 328,086.40, 492,129.60 and 194,898.10

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Solution

The fourth proportional to 328,086.40, 492,129.60 and 194,898.10 is: 292,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,086.40 : 492,129.60 = 194,898.10 : x
  2. Step 2: Convert to fraction form
    328,086.40/492,129.60 = 194,898.10/x
  3. Step 3: Cross multiply
    328,086.40x = 492,129.60 × 194,898.10
  4. Step 4: Simplify right side
    328,086.40x = 95,915,123,993.76
  5. Step 5: Solve for x
    x = 95,915,123,993.76/328,086.40
  6. Step 6: Final answer
    x = 292,347.15

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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.