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Finding the Fourth Proportional to 410,586.03, 615,906.18 and 197,398.89

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Solution

The fourth proportional to 410,586.03, 615,906.18 and 197,398.89 is: 296,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,586.03 : 615,906.18 = 197,398.89 : x
  2. Step 2: Convert to fraction form
    410,586.03/615,906.18 = 197,398.89/x
  3. Step 3: Cross multiply
    410,586.03x = 615,906.18 × 197,398.89
  4. Step 4: Simplify right side
    410,586.03x = 121,579,196,276.14
  5. Step 5: Solve for x
    x = 121,579,196,276.14/410,586.03
  6. Step 6: Final answer
    x = 296,111.38

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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.