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Finding the Fourth Proportional to 410,130.80, 615,196.20 and 298,593.80

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Solution

The fourth proportional to 410,130.80, 615,196.20 and 298,593.80 is: 447,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,130.80 : 615,196.20 = 298,593.80 : x
  2. Step 2: Convert to fraction form
    410,130.80/615,196.20 = 298,593.80/x
  3. Step 3: Cross multiply
    410,130.80x = 615,196.20 × 298,593.80
  4. Step 4: Simplify right side
    410,130.80x = 183,693,771,103.56
  5. Step 5: Solve for x
    x = 183,693,771,103.56/410,130.80
  6. Step 6: Final answer
    x = 447,890.70

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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.