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Finding the Fourth Proportional to 297,329.48, 410,314.90 and 161,363.40

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Solution

The fourth proportional to 297,329.48, 410,314.90 and 161,363.40 is: 222,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,329.48 : 410,314.90 = 161,363.40 : x
  2. Step 2: Convert to fraction form
    297,329.48/410,314.90 = 161,363.40/x
  3. Step 3: Cross multiply
    297,329.48x = 410,314.90 × 161,363.40
  4. Step 4: Simplify right side
    297,329.48x = 66,209,806,849.14
  5. Step 5: Solve for x
    x = 66,209,806,849.14/297,329.48
  6. Step 6: Final answer
    x = 222,681.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.