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Finding the Fourth Proportional to 306,677.14, 460,109.84 and 157,022.51

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Solution

The fourth proportional to 306,677.14, 460,109.84 and 157,022.51 is: 235,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,677.14 : 460,109.84 = 157,022.51 : x
  2. Step 2: Convert to fraction form
    306,677.14/460,109.84 = 157,022.51/x
  3. Step 3: Cross multiply
    306,677.14x = 460,109.84 × 157,022.51
  4. Step 4: Simplify right side
    306,677.14x = 72,247,598,866.84
  5. Step 5: Solve for x
    x = 72,247,598,866.84/306,677.14
  6. Step 6: Final answer
    x = 235,581.95

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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.