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Finding the Fourth Proportional to 306,980.73, 460,533.38 and 96,569.73

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Solution

The fourth proportional to 306,980.73, 460,533.38 and 96,569.73 is: 144,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,980.73 : 460,533.38 = 96,569.73 : x
  2. Step 2: Convert to fraction form
    306,980.73/460,533.38 = 96,569.73/x
  3. Step 3: Cross multiply
    306,980.73x = 460,533.38 × 96,569.73
  4. Step 4: Simplify right side
    306,980.73x = 44,473,585,313.92
  5. Step 5: Solve for x
    x = 44,473,585,313.92/306,980.73
  6. Step 6: Final answer
    x = 144,874.19

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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.