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Finding the Fourth Proportional to 678,796.19, 936,708.45 and 407,014.10

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Solution

The fourth proportional to 678,796.19, 936,708.45 and 407,014.10 is: 561,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,796.19 : 936,708.45 = 407,014.10 : x
  2. Step 2: Convert to fraction form
    678,796.19/936,708.45 = 407,014.10/x
  3. Step 3: Cross multiply
    678,796.19x = 936,708.45 × 407,014.10
  4. Step 4: Simplify right side
    678,796.19x = 381,253,546,739.15
  5. Step 5: Solve for x
    x = 381,253,546,739.15/678,796.19
  6. Step 6: Final answer
    x = 561,661.29

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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.