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Finding the Fourth Proportional to 410,773.20, 614,950.20 and 306,056.40

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Solution

The fourth proportional to 410,773.20, 614,950.20 and 306,056.40 is: 458,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,773.20 : 614,950.20 = 306,056.40 : x
  2. Step 2: Convert to fraction form
    410,773.20/614,950.20 = 306,056.40/x
  3. Step 3: Cross multiply
    410,773.20x = 614,950.20 × 306,056.40
  4. Step 4: Simplify right side
    410,773.20x = 188,209,444,391.28
  5. Step 5: Solve for x
    x = 188,209,444,391.28/410,773.20
  6. Step 6: Final answer
    x = 458,183.36

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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.