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Finding the Fourth Proportional to 407,261.40, 610,892.10 and 185,645.40

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Solution

The fourth proportional to 407,261.40, 610,892.10 and 185,645.40 is: 278,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,261.40 : 610,892.10 = 185,645.40 : x
  2. Step 2: Convert to fraction form
    407,261.40/610,892.10 = 185,645.40/x
  3. Step 3: Cross multiply
    407,261.40x = 610,892.10 × 185,645.40
  4. Step 4: Simplify right side
    407,261.40x = 113,409,308,261.34
  5. Step 5: Solve for x
    x = 113,409,308,261.34/407,261.40
  6. Step 6: Final answer
    x = 278,468.10

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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.