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Finding the Fourth Proportional to 334,762.56, 461,970.24 and 200,626.56

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Solution

The fourth proportional to 334,762.56, 461,970.24 and 200,626.56 is: 276,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,762.56 : 461,970.24 = 200,626.56 : x
  2. Step 2: Convert to fraction form
    334,762.56/461,970.24 = 200,626.56/x
  3. Step 3: Cross multiply
    334,762.56x = 461,970.24 × 200,626.56
  4. Step 4: Simplify right side
    334,762.56x = 92,683,500,073.57
  5. Step 5: Solve for x
    x = 92,683,500,073.57/334,762.56
  6. Step 6: Final answer
    x = 276,863.40

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1.5x scale

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.