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Finding the Fourth Proportional to 304,893.81, 457,096.50 and 144,889.45

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Solution

The fourth proportional to 304,893.81, 457,096.50 and 144,889.45 is: 217,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,893.81 : 457,096.50 = 144,889.45 : x
  2. Step 2: Convert to fraction form
    304,893.81/457,096.50 = 144,889.45/x
  3. Step 3: Cross multiply
    304,893.81x = 457,096.50 × 144,889.45
  4. Step 4: Simplify right side
    304,893.81x = 66,228,459,339.18
  5. Step 5: Solve for x
    x = 66,228,459,339.18/304,893.81
  6. Step 6: Final answer
    x = 217,218.12

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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.