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Finding the Fourth Proportional to 362,650.92, 500,314.92 and 209,660.96

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Solution

The fourth proportional to 362,650.92, 500,314.92 and 209,660.96 is: 289,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,650.92 : 500,314.92 = 209,660.96 : x
  2. Step 2: Convert to fraction form
    362,650.92/500,314.92 = 209,660.96/x
  3. Step 3: Cross multiply
    362,650.92x = 500,314.92 × 209,660.96
  4. Step 4: Simplify right side
    362,650.92x = 104,896,506,429.52
  5. Step 5: Solve for x
    x = 104,896,506,429.52/362,650.92
  6. Step 6: Final answer
    x = 289,249.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.