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Finding the Fourth Proportional to 315,063.32, 434,541.64 and 201,896.60

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Solution

The fourth proportional to 315,063.32, 434,541.64 and 201,896.60 is: 278,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,063.32 : 434,541.64 = 201,896.60 : x
  2. Step 2: Convert to fraction form
    315,063.32/434,541.64 = 201,896.60/x
  3. Step 3: Cross multiply
    315,063.32x = 434,541.64 × 201,896.60
  4. Step 4: Simplify right side
    315,063.32x = 87,732,479,674.42
  5. Step 5: Solve for x
    x = 87,732,479,674.42/315,063.32
  6. Step 6: Final answer
    x = 278,459.83

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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.