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Finding the Fourth Proportional to 522,456.50, 783,028.83 and 282,560.84

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Solution

The fourth proportional to 522,456.50, 783,028.83 and 282,560.84 is: 423,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,456.50 : 783,028.83 = 282,560.84 : x
  2. Step 2: Convert to fraction form
    522,456.50/783,028.83 = 282,560.84/x
  3. Step 3: Cross multiply
    522,456.50x = 783,028.83 × 282,560.84
  4. Step 4: Simplify right side
    522,456.50x = 221,253,283,949.02
  5. Step 5: Solve for x
    x = 221,253,283,949.02/522,456.50
  6. Step 6: Final answer
    x = 423,486.52

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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.