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Finding the Fourth Proportional to 500,919.50, 691,339.80 and 309,994.40

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Solution

The fourth proportional to 500,919.50, 691,339.80 and 309,994.40 is: 427,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,919.50 : 691,339.80 = 309,994.40 : x
  2. Step 2: Convert to fraction form
    500,919.50/691,339.80 = 309,994.40/x
  3. Step 3: Cross multiply
    500,919.50x = 691,339.80 × 309,994.40
  4. Step 4: Simplify right side
    500,919.50x = 214,311,466,497.12
  5. Step 5: Solve for x
    x = 214,311,466,497.12/500,919.50
  6. Step 6: Final answer
    x = 427,836.14

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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.