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Finding the Fourth Proportional to 512,999.40, 769,499.10 and 345,037.80

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Solution

The fourth proportional to 512,999.40, 769,499.10 and 345,037.80 is: 517,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.40 : 769,499.10 = 345,037.80 : x
  2. Step 2: Convert to fraction form
    512,999.40/769,499.10 = 345,037.80/x
  3. Step 3: Cross multiply
    512,999.40x = 769,499.10 × 345,037.80
  4. Step 4: Simplify right side
    512,999.40x = 265,506,276,565.98
  5. Step 5: Solve for x
    x = 265,506,276,565.98/512,999.40
  6. Step 6: Final answer
    x = 517,556.70

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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.