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Finding the Fourth Proportional to 365,296.32, 504,264.10 and 222,102.08

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Solution

The fourth proportional to 365,296.32, 504,264.10 and 222,102.08 is: 306,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,296.32 : 504,264.10 = 222,102.08 : x
  2. Step 2: Convert to fraction form
    365,296.32/504,264.10 = 222,102.08/x
  3. Step 3: Cross multiply
    365,296.32x = 504,264.10 × 222,102.08
  4. Step 4: Simplify right side
    365,296.32x = 111,998,105,479.33
  5. Step 5: Solve for x
    x = 111,998,105,479.33/365,296.32
  6. Step 6: Final answer
    x = 306,595.22

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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.