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Finding the Fourth Proportional to 585,749.16, 878,643.09 and 201,494.16

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Solution

The fourth proportional to 585,749.16, 878,643.09 and 201,494.16 is: 302,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,749.16 : 878,643.09 = 201,494.16 : x
  2. Step 2: Convert to fraction form
    585,749.16/878,643.09 = 201,494.16/x
  3. Step 3: Cross multiply
    585,749.16x = 878,643.09 × 201,494.16
  4. Step 4: Simplify right side
    585,749.16x = 177,041,451,359.35
  5. Step 5: Solve for x
    x = 177,041,451,359.35/585,749.16
  6. Step 6: Final answer
    x = 302,247.90

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Why These Related Problems?

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