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Finding the Fourth Proportional to 456,003.32, 684,078.48 and 140,460.08

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Solution

The fourth proportional to 456,003.32, 684,078.48 and 140,460.08 is: 210,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,003.32 : 684,078.48 = 140,460.08 : x
  2. Step 2: Convert to fraction form
    456,003.32/684,078.48 = 140,460.08/x
  3. Step 3: Cross multiply
    456,003.32x = 684,078.48 × 140,460.08
  4. Step 4: Simplify right side
    456,003.32x = 96,085,718,027.08
  5. Step 5: Solve for x
    x = 96,085,718,027.08/456,003.32
  6. Step 6: Final answer
    x = 210,712.76

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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.