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Finding the Fourth Proportional to 320,695.97, 480,085.58 and 193,952.81

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Solution

The fourth proportional to 320,695.97, 480,085.58 and 193,952.81 is: 290,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,695.97 : 480,085.58 = 193,952.81 : x
  2. Step 2: Convert to fraction form
    320,695.97/480,085.58 = 193,952.81/x
  3. Step 3: Cross multiply
    320,695.97x = 480,085.58 × 193,952.81
  4. Step 4: Simplify right side
    320,695.97x = 93,113,948,966.58
  5. Step 5: Solve for x
    x = 93,113,948,966.58/320,695.97
  6. Step 6: Final answer
    x = 290,349.61

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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.