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Finding the Fourth Proportional to 410,649.80, 615,513.90 and 233,241.80

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Solution

The fourth proportional to 410,649.80, 615,513.90 and 233,241.80 is: 349,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,649.80 : 615,513.90 = 233,241.80 : x
  2. Step 2: Convert to fraction form
    410,649.80/615,513.90 = 233,241.80/x
  3. Step 3: Cross multiply
    410,649.80x = 615,513.90 × 233,241.80
  4. Step 4: Simplify right side
    410,649.80x = 143,563,569,961.02
  5. Step 5: Solve for x
    x = 143,563,569,961.02/410,649.80
  6. Step 6: Final answer
    x = 349,600.97

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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.