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Finding the Fourth Proportional to 456,703.48, 684,168.66 and 336,542.32

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Solution

The fourth proportional to 456,703.48, 684,168.66 and 336,542.32 is: 504,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,703.48 : 684,168.66 = 336,542.32 : x
  2. Step 2: Convert to fraction form
    456,703.48/684,168.66 = 336,542.32/x
  3. Step 3: Cross multiply
    456,703.48x = 684,168.66 × 336,542.32
  4. Step 4: Simplify right side
    456,703.48x = 230,251,708,107.69
  5. Step 5: Solve for x
    x = 230,251,708,107.69/456,703.48
  6. Step 6: Final answer
    x = 504,160.18

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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.