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Finding the Fourth Proportional to 407,241.40, 611,007.90 and 170,656.60

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Solution

The fourth proportional to 407,241.40, 611,007.90 and 170,656.60 is: 256,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,241.40 : 611,007.90 = 170,656.60 : x
  2. Step 2: Convert to fraction form
    407,241.40/611,007.90 = 170,656.60/x
  3. Step 3: Cross multiply
    407,241.40x = 611,007.90 × 170,656.60
  4. Step 4: Simplify right side
    407,241.40x = 104,272,530,787.14
  5. Step 5: Solve for x
    x = 104,272,530,787.14/407,241.40
  6. Step 6: Final answer
    x = 256,046.00

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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.