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Finding the Fourth Proportional to 469,686.22, 703,622.61 and 280,297.93

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Solution

The fourth proportional to 469,686.22, 703,622.61 and 280,297.93 is: 419,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,686.22 : 703,622.61 = 280,297.93 : x
  2. Step 2: Convert to fraction form
    469,686.22/703,622.61 = 280,297.93/x
  3. Step 3: Cross multiply
    469,686.22x = 703,622.61 × 280,297.93
  4. Step 4: Simplify right side
    469,686.22x = 197,223,961,084.20
  5. Step 5: Solve for x
    x = 197,223,961,084.20/469,686.22
  6. Step 6: Final answer
    x = 419,905.79

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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.