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Finding the Fourth Proportional to 307,717.65, 461,530.31 and 97,328.25

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Solution

The fourth proportional to 307,717.65, 461,530.31 and 97,328.25 is: 145,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,717.65 : 461,530.31 = 97,328.25 : x
  2. Step 2: Convert to fraction form
    307,717.65/461,530.31 = 97,328.25/x
  3. Step 3: Cross multiply
    307,717.65x = 461,530.31 × 97,328.25
  4. Step 4: Simplify right side
    307,717.65x = 44,919,936,907.62
  5. Step 5: Solve for x
    x = 44,919,936,907.62/307,717.65
  6. Step 6: Final answer
    x = 145,977.77

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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.