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Finding the Fourth Proportional to 390,774.82, 585,734.62 and 201,246.66

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Solution

The fourth proportional to 390,774.82, 585,734.62 and 201,246.66 is: 301,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,774.82 : 585,734.62 = 201,246.66 : x
  2. Step 2: Convert to fraction form
    390,774.82/585,734.62 = 201,246.66/x
  3. Step 3: Cross multiply
    390,774.82x = 585,734.62 × 201,246.66
  4. Step 4: Simplify right side
    390,774.82x = 117,877,135,921.37
  5. Step 5: Solve for x
    x = 117,877,135,921.37/390,774.82
  6. Step 6: Final answer
    x = 301,649.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.