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Finding the Fourth Proportional to 304,005.76, 419,521.28 and 168,034.50

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Solution

The fourth proportional to 304,005.76, 419,521.28 and 168,034.50 is: 231,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,005.76 : 419,521.28 = 168,034.50 : x
  2. Step 2: Convert to fraction form
    304,005.76/419,521.28 = 168,034.50/x
  3. Step 3: Cross multiply
    304,005.76x = 419,521.28 × 168,034.50
  4. Step 4: Simplify right side
    304,005.76x = 70,494,047,683.99
  5. Step 5: Solve for x
    x = 70,494,047,683.99/304,005.76
  6. Step 6: Final answer
    x = 231,883.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.