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Finding the Fourth Proportional to 412,867.80, 619,301.70 and 319,440.60

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Solution

The fourth proportional to 412,867.80, 619,301.70 and 319,440.60 is: 479,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,867.80 : 619,301.70 = 319,440.60 : x
  2. Step 2: Convert to fraction form
    412,867.80/619,301.70 = 319,440.60/x
  3. Step 3: Cross multiply
    412,867.80x = 619,301.70 × 319,440.60
  4. Step 4: Simplify right side
    412,867.80x = 197,830,106,629.02
  5. Step 5: Solve for x
    x = 197,830,106,629.02/412,867.80
  6. Step 6: Final answer
    x = 479,160.90

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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.