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Finding the Fourth Proportional to 467,097.64, 700,538.93 and 182,794.93

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Solution

The fourth proportional to 467,097.64, 700,538.93 and 182,794.93 is: 274,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,097.64 : 700,538.93 = 182,794.93 : x
  2. Step 2: Convert to fraction form
    467,097.64/700,538.93 = 182,794.93/x
  3. Step 3: Cross multiply
    467,097.64x = 700,538.93 × 182,794.93
  4. Step 4: Simplify right side
    467,097.64x = 128,054,962,691.78
  5. Step 5: Solve for x
    x = 128,054,962,691.78/467,097.64
  6. Step 6: Final answer
    x = 274,150.31

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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.