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Finding the Fourth Proportional to 362,105.80, 542,813.10 and 282,099.40

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Solution

The fourth proportional to 362,105.80, 542,813.10 and 282,099.40 is: 422,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,105.80 : 542,813.10 = 282,099.40 : x
  2. Step 2: Convert to fraction form
    362,105.80/542,813.10 = 282,099.40/x
  3. Step 3: Cross multiply
    362,105.80x = 542,813.10 × 282,099.40
  4. Step 4: Simplify right side
    362,105.80x = 153,127,249,822.14
  5. Step 5: Solve for x
    x = 153,127,249,822.14/362,105.80
  6. Step 6: Final answer
    x = 422,879.86

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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.