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Finding the Fourth Proportional to 378,251.66, 567,068.32 and 175,973.86

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Solution

The fourth proportional to 378,251.66, 567,068.32 and 175,973.86 is: 263,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,251.66 : 567,068.32 = 175,973.86 : x
  2. Step 2: Convert to fraction form
    378,251.66/567,068.32 = 175,973.86/x
  3. Step 3: Cross multiply
    378,251.66x = 567,068.32 × 175,973.86
  4. Step 4: Simplify right side
    378,251.66x = 99,789,199,296.51
  5. Step 5: Solve for x
    x = 99,789,199,296.51/378,251.66
  6. Step 6: Final answer
    x = 263,816.95

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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.