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Finding the Fourth Proportional to 363,956.20, 502,261.56 and 211,085

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Solution

The fourth proportional to 363,956.20, 502,261.56 and 211,085 is: 291,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,956.20 : 502,261.56 = 211,085 : x
  2. Step 2: Convert to fraction form
    363,956.20/502,261.56 = 211,085/x
  3. Step 3: Cross multiply
    363,956.20x = 502,261.56 × 211,085
  4. Step 4: Simplify right side
    363,956.20x = 106,019,881,392.60
  5. Step 5: Solve for x
    x = 106,019,881,392.60/363,956.20
  6. Step 6: Final answer
    x = 291,298.46

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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.