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Finding the Fourth Proportional to 296,396.25, 409,026.85 and 162,260.25

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Solution

The fourth proportional to 296,396.25, 409,026.85 and 162,260.25 is: 223,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,396.25 : 409,026.85 = 162,260.25 : x
  2. Step 2: Convert to fraction form
    296,396.25/409,026.85 = 162,260.25/x
  3. Step 3: Cross multiply
    296,396.25x = 409,026.85 × 162,260.25
  4. Step 4: Simplify right side
    296,396.25x = 66,368,798,126.41
  5. Step 5: Solve for x
    x = 66,368,798,126.41/296,396.25
  6. Step 6: Final answer
    x = 223,919.16

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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.