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Finding the Fourth Proportional to 410,665.32, 566,714.81 and 226,903.32

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Solution

The fourth proportional to 410,665.32, 566,714.81 and 226,903.32 is: 313,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,665.32 : 566,714.81 = 226,903.32 : x
  2. Step 2: Convert to fraction form
    410,665.32/566,714.81 = 226,903.32/x
  3. Step 3: Cross multiply
    410,665.32x = 566,714.81 × 226,903.32
  4. Step 4: Simplify right side
    410,665.32x = 128,589,470,747.65
  5. Step 5: Solve for x
    x = 128,589,470,747.65/410,665.32
  6. Step 6: Final answer
    x = 313,124.74

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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.