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Finding the Fourth Proportional to 315,016.95, 434,530.12 and 201,642.87

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Solution

The fourth proportional to 315,016.95, 434,530.12 and 201,642.87 is: 278,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,016.95 : 434,530.12 = 201,642.87 : x
  2. Step 2: Convert to fraction form
    315,016.95/434,530.12 = 201,642.87/x
  3. Step 3: Cross multiply
    315,016.95x = 434,530.12 × 201,642.87
  4. Step 4: Simplify right side
    315,016.95x = 87,619,900,498.24
  5. Step 5: Solve for x
    x = 87,619,900,498.24/315,016.95
  6. Step 6: Final answer
    x = 278,143.45

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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.