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Finding the Fourth Proportional to 462,827.93, 693,888.12 and 320,293.85

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Solution

The fourth proportional to 462,827.93, 693,888.12 and 320,293.85 is: 480,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,827.93 : 693,888.12 = 320,293.85 : x
  2. Step 2: Convert to fraction form
    462,827.93/693,888.12 = 320,293.85/x
  3. Step 3: Cross multiply
    462,827.93x = 693,888.12 × 320,293.85
  4. Step 4: Simplify right side
    462,827.93x = 222,248,093,954.62
  5. Step 5: Solve for x
    x = 222,248,093,954.62/462,827.93
  6. Step 6: Final answer
    x = 480,195.95

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1.5x scale

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.