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Finding the Fourth Proportional to 297,973.76, 411,197.82 and 162,010.40

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Solution

The fourth proportional to 297,973.76, 411,197.82 and 162,010.40 is: 223,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,973.76 : 411,197.82 = 162,010.40 : x
  2. Step 2: Convert to fraction form
    297,973.76/411,197.82 = 162,010.40/x
  3. Step 3: Cross multiply
    297,973.76x = 411,197.82 × 162,010.40
  4. Step 4: Simplify right side
    297,973.76x = 66,618,323,297.33
  5. Step 5: Solve for x
    x = 66,618,323,297.33/297,973.76
  6. Step 6: Final answer
    x = 223,571.11

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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.