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Finding the Fourth Proportional to 407,261.40, 610,892.10 and 111,773.40

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Solution

The fourth proportional to 407,261.40, 610,892.10 and 111,773.40 is: 167,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,261.40 : 610,892.10 = 111,773.40 : x
  2. Step 2: Convert to fraction form
    407,261.40/610,892.10 = 111,773.40/x
  3. Step 3: Cross multiply
    407,261.40x = 610,892.10 × 111,773.40
  4. Step 4: Simplify right side
    407,261.40x = 68,281,487,050.14
  5. Step 5: Solve for x
    x = 68,281,487,050.14/407,261.40
  6. Step 6: Final answer
    x = 167,660.10

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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.