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Finding the Fourth Proportional to 282,006.80, 423,010.20 and 264,510.80

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Solution

The fourth proportional to 282,006.80, 423,010.20 and 264,510.80 is: 396,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,006.80 : 423,010.20 = 264,510.80 : x
  2. Step 2: Convert to fraction form
    282,006.80/423,010.20 = 264,510.80/x
  3. Step 3: Cross multiply
    282,006.80x = 423,010.20 × 264,510.80
  4. Step 4: Simplify right side
    282,006.80x = 111,890,766,410.16
  5. Step 5: Solve for x
    x = 111,890,766,410.16/282,006.80
  6. Step 6: Final answer
    x = 396,766.20

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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.