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Finding the Fourth Proportional to 410,108.20, 615,623.10 and 317,026.60

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Solution

The fourth proportional to 410,108.20, 615,623.10 and 317,026.60 is: 475,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,108.20 : 615,623.10 = 317,026.60 : x
  2. Step 2: Convert to fraction form
    410,108.20/615,623.10 = 317,026.60/x
  3. Step 3: Cross multiply
    410,108.20x = 615,623.10 × 317,026.60
  4. Step 4: Simplify right side
    410,108.20x = 195,168,898,274.46
  5. Step 5: Solve for x
    x = 195,168,898,274.46/410,108.20
  6. Step 6: Final answer
    x = 475,896.11

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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.