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Finding the Fourth Proportional to 520,099.80, 780,149.70 and 310,147.80

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Solution

The fourth proportional to 520,099.80, 780,149.70 and 310,147.80 is: 465,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,099.80 : 780,149.70 = 310,147.80 : x
  2. Step 2: Convert to fraction form
    520,099.80/780,149.70 = 310,147.80/x
  3. Step 3: Cross multiply
    520,099.80x = 780,149.70 × 310,147.80
  4. Step 4: Simplify right side
    520,099.80x = 241,961,713,125.66
  5. Step 5: Solve for x
    x = 241,961,713,125.66/520,099.80
  6. Step 6: Final answer
    x = 465,221.70

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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.