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Finding the Fourth Proportional to 471,665.14, 650,880.90 and 256,800.28

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Solution

The fourth proportional to 471,665.14, 650,880.90 and 256,800.28 is: 354,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,665.14 : 650,880.90 = 256,800.28 : x
  2. Step 2: Convert to fraction form
    471,665.14/650,880.90 = 256,800.28/x
  3. Step 3: Cross multiply
    471,665.14x = 650,880.90 × 256,800.28
  4. Step 4: Simplify right side
    471,665.14x = 167,146,397,366.65
  5. Step 5: Solve for x
    x = 167,146,397,366.65/471,665.14
  6. Step 6: Final answer
    x = 354,375.13

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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.