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Finding the Fourth Proportional to 559,713.68, 839,570.22 and 204,533.90

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Solution

The fourth proportional to 559,713.68, 839,570.22 and 204,533.90 is: 306,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,713.68 : 839,570.22 = 204,533.90 : x
  2. Step 2: Convert to fraction form
    559,713.68/839,570.22 = 204,533.90/x
  3. Step 3: Cross multiply
    559,713.68x = 839,570.22 × 204,533.90
  4. Step 4: Simplify right side
    559,713.68x = 171,720,571,420.46
  5. Step 5: Solve for x
    x = 171,720,571,420.46/559,713.68
  6. Step 6: Final answer
    x = 306,800.74

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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.