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Finding the Fourth Proportional to 559,233.36, 839,210.76 and 204,217.68

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Solution

The fourth proportional to 559,233.36, 839,210.76 and 204,217.68 is: 306,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,233.36 : 839,210.76 = 204,217.68 : x
  2. Step 2: Convert to fraction form
    559,233.36/839,210.76 = 204,217.68/x
  3. Step 3: Cross multiply
    559,233.36x = 839,210.76 × 204,217.68
  4. Step 4: Simplify right side
    559,233.36x = 171,381,674,438.24
  5. Step 5: Solve for x
    x = 171,381,674,438.24/559,233.36
  6. Step 6: Final answer
    x = 306,458.25

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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.