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Finding the Fourth Proportional to 297,945.47, 411,159.84 and 161,982.80

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Solution

The fourth proportional to 297,945.47, 411,159.84 and 161,982.80 is: 223,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,945.47 : 411,159.84 = 161,982.80 : x
  2. Step 2: Convert to fraction form
    297,945.47/411,159.84 = 161,982.80/x
  3. Step 3: Cross multiply
    297,945.47x = 411,159.84 × 161,982.80
  4. Step 4: Simplify right side
    297,945.47x = 66,600,822,130.75
  5. Step 5: Solve for x
    x = 66,600,822,130.75/297,945.47
  6. Step 6: Final answer
    x = 223,533.60

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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.