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Finding the Fourth Proportional to 414,094.54, 620,508.24 and 278,657.04

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Solution

The fourth proportional to 414,094.54, 620,508.24 and 278,657.04 is: 417,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,094.54 : 620,508.24 = 278,657.04 : x
  2. Step 2: Convert to fraction form
    414,094.54/620,508.24 = 278,657.04/x
  3. Step 3: Cross multiply
    414,094.54x = 620,508.24 × 278,657.04
  4. Step 4: Simplify right side
    414,094.54x = 172,908,989,612.00
  5. Step 5: Solve for x
    x = 172,908,989,612.00/414,094.54
  6. Step 6: Final answer
    x = 417,559.21

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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.