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Finding the Fourth Proportional to 407,115.60, 610,673.40 and 306,076.20

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Solution

The fourth proportional to 407,115.60, 610,673.40 and 306,076.20 is: 459,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115.60 : 610,673.40 = 306,076.20 : x
  2. Step 2: Convert to fraction form
    407,115.60/610,673.40 = 306,076.20/x
  3. Step 3: Cross multiply
    407,115.60x = 610,673.40 × 306,076.20
  4. Step 4: Simplify right side
    407,115.60x = 186,912,593,713.08
  5. Step 5: Solve for x
    x = 186,912,593,713.08/407,115.60
  6. Step 6: Final answer
    x = 459,114.30

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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.