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Finding the Fourth Proportional to 390,844, 539,364.90 and 221,074.48

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Solution

The fourth proportional to 390,844, 539,364.90 and 221,074.48 is: 305,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,844 : 539,364.90 = 221,074.48 : x
  2. Step 2: Convert to fraction form
    390,844/539,364.90 = 221,074.48/x
  3. Step 3: Cross multiply
    390,844x = 539,364.90 × 221,074.48
  4. Step 4: Simplify right side
    390,844x = 119,239,814,797.75
  5. Step 5: Solve for x
    x = 119,239,814,797.75/390,844
  6. Step 6: Final answer
    x = 305,082.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.