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Finding the Fourth Proportional to 500,194.73, 690,355.98 and 296,360.42

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Solution

The fourth proportional to 500,194.73, 690,355.98 and 296,360.42 is: 409,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,194.73 : 690,355.98 = 296,360.42 : x
  2. Step 2: Convert to fraction form
    500,194.73/690,355.98 = 296,360.42/x
  3. Step 3: Cross multiply
    500,194.73x = 690,355.98 × 296,360.42
  4. Step 4: Simplify right side
    500,194.73x = 204,594,184,730.53
  5. Step 5: Solve for x
    x = 204,594,184,730.53/500,194.73
  6. Step 6: Final answer
    x = 409,029.07

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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.