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Finding the Fourth Proportional to 282,647.80, 423,315.60 and 193,418.20

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Solution

The fourth proportional to 282,647.80, 423,315.60 and 193,418.20 is: 289,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.80 : 423,315.60 = 193,418.20 : x
  2. Step 2: Convert to fraction form
    282,647.80/423,315.60 = 193,418.20/x
  3. Step 3: Cross multiply
    282,647.80x = 423,315.60 × 193,418.20
  4. Step 4: Simplify right side
    282,647.80x = 81,876,941,383.92
  5. Step 5: Solve for x
    x = 81,876,941,383.92/282,647.80
  6. Step 6: Final answer
    x = 289,678.33

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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.