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Finding the Fourth Proportional to 414,433.46, 620,827.14 and 319,333.70

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Solution

The fourth proportional to 414,433.46, 620,827.14 and 319,333.70 is: 478,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,433.46 : 620,827.14 = 319,333.70 : x
  2. Step 2: Convert to fraction form
    414,433.46/620,827.14 = 319,333.70/x
  3. Step 3: Cross multiply
    414,433.46x = 620,827.14 × 319,333.70
  4. Step 4: Simplify right side
    414,433.46x = 198,251,027,676.62
  5. Step 5: Solve for x
    x = 198,251,027,676.62/414,433.46
  6. Step 6: Final answer
    x = 478,366.36

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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.