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Finding the Fourth Proportional to 410,388.64, 566,266.16 and 229,091.20

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Solution

The fourth proportional to 410,388.64, 566,266.16 and 229,091.20 is: 316,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,388.64 : 566,266.16 = 229,091.20 : x
  2. Step 2: Convert to fraction form
    410,388.64/566,266.16 = 229,091.20/x
  3. Step 3: Cross multiply
    410,388.64x = 566,266.16 × 229,091.20
  4. Step 4: Simplify right side
    410,388.64x = 129,726,594,113.79
  5. Step 5: Solve for x
    x = 129,726,594,113.79/410,388.64
  6. Step 6: Final answer
    x = 316,106.69

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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.