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Finding the Fourth Proportional to 307,019.63, 460,545.84 and 96,673.97

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Solution

The fourth proportional to 307,019.63, 460,545.84 and 96,673.97 is: 145,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,019.63 : 460,545.84 = 96,673.97 : x
  2. Step 2: Convert to fraction form
    307,019.63/460,545.84 = 96,673.97/x
  3. Step 3: Cross multiply
    307,019.63x = 460,545.84 × 96,673.97
  4. Step 4: Simplify right side
    307,019.63x = 44,522,792,417.06
  5. Step 5: Solve for x
    x = 44,522,792,417.06/307,019.63
  6. Step 6: Final answer
    x = 145,016.11

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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.