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Finding the Fourth Proportional to 322,931.94, 484,398.18 and 154,412.52

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Solution

The fourth proportional to 322,931.94, 484,398.18 and 154,412.52 is: 231,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,931.94 : 484,398.18 = 154,412.52 : x
  2. Step 2: Convert to fraction form
    322,931.94/484,398.18 = 154,412.52/x
  3. Step 3: Cross multiply
    322,931.94x = 484,398.18 × 154,412.52
  4. Step 4: Simplify right side
    322,931.94x = 74,797,143,657.21
  5. Step 5: Solve for x
    x = 74,797,143,657.21/322,931.94
  6. Step 6: Final answer
    x = 231,618.91

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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.