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Finding the Fourth Proportional to 524,914.83, 787,179.06 and 412,814.07

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Solution

The fourth proportional to 524,914.83, 787,179.06 and 412,814.07 is: 619,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,914.83 : 787,179.06 = 412,814.07 : x
  2. Step 2: Convert to fraction form
    524,914.83/787,179.06 = 412,814.07/x
  3. Step 3: Cross multiply
    524,914.83x = 787,179.06 × 412,814.07
  4. Step 4: Simplify right side
    524,914.83x = 324,958,591,577.37
  5. Step 5: Solve for x
    x = 324,958,591,577.37/524,914.83
  6. Step 6: Final answer
    x = 619,069.18

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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.