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Finding the Fourth Proportional to 297,931.41, 411,148.01 and 161,965.62

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Solution

The fourth proportional to 297,931.41, 411,148.01 and 161,965.62 is: 223,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,931.41 : 411,148.01 = 161,965.62 : x
  2. Step 2: Convert to fraction form
    297,931.41/411,148.01 = 161,965.62/x
  3. Step 3: Cross multiply
    297,931.41x = 411,148.01 × 161,965.62
  4. Step 4: Simplify right side
    297,931.41x = 66,591,842,756.33
  5. Step 5: Solve for x
    x = 66,591,842,756.33/297,931.41
  6. Step 6: Final answer
    x = 223,514.01

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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.