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Finding the Fourth Proportional to 345,338.64, 518,078.23 and 145,659.74

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Solution

The fourth proportional to 345,338.64, 518,078.23 and 145,659.74 is: 218,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,338.64 : 518,078.23 = 145,659.74 : x
  2. Step 2: Convert to fraction form
    345,338.64/518,078.23 = 145,659.74/x
  3. Step 3: Cross multiply
    345,338.64x = 518,078.23 × 145,659.74
  4. Step 4: Simplify right side
    345,338.64x = 75,463,137,326.92
  5. Step 5: Solve for x
    x = 75,463,137,326.92/345,338.64
  6. Step 6: Final answer
    x = 218,519.24

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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.