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Finding the Fourth Proportional to 725,191.10, 1,000,705.03 and 419,287.11

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Solution

The fourth proportional to 725,191.10, 1,000,705.03 and 419,287.11 is: 578,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,191.10 : 1,000,705.03 = 419,287.11 : x
  2. Step 2: Convert to fraction form
    725,191.10/1,000,705.03 = 419,287.11/x
  3. Step 3: Cross multiply
    725,191.10x = 1,000,705.03 × 419,287.11
  4. Step 4: Simplify right side
    725,191.10x = 419,582,719,991.16
  5. Step 5: Solve for x
    x = 419,582,719,991.16/725,191.10
  6. Step 6: Final answer
    x = 578,582.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.