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Finding the Fourth Proportional to 304,685.69, 457,102.31 and 91,453.19

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Solution

The fourth proportional to 304,685.69, 457,102.31 and 91,453.19 is: 137,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,685.69 : 457,102.31 = 91,453.19 : x
  2. Step 2: Convert to fraction form
    304,685.69/457,102.31 = 91,453.19/x
  3. Step 3: Cross multiply
    304,685.69x = 457,102.31 × 91,453.19
  4. Step 4: Simplify right side
    304,685.69x = 41,803,461,663.09
  5. Step 5: Solve for x
    x = 41,803,461,663.09/304,685.69
  6. Step 6: Final answer
    x = 137,201.92

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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.