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Finding the Fourth Proportional to 412,939.80, 619,409.70 and 319,627.80

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Solution

The fourth proportional to 412,939.80, 619,409.70 and 319,627.80 is: 479,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,939.80 : 619,409.70 = 319,627.80 : x
  2. Step 2: Convert to fraction form
    412,939.80/619,409.70 = 319,627.80/x
  3. Step 3: Cross multiply
    412,939.80x = 619,409.70 × 319,627.80
  4. Step 4: Simplify right side
    412,939.80x = 197,980,559,709.66
  5. Step 5: Solve for x
    x = 197,980,559,709.66/412,939.80
  6. Step 6: Final answer
    x = 479,441.70

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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.