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Finding the Fourth Proportional to 560,301.69, 839,953.14 and 205,232.59

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Solution

The fourth proportional to 560,301.69, 839,953.14 and 205,232.59 is: 307,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,301.69 : 839,953.14 = 205,232.59 : x
  2. Step 2: Convert to fraction form
    560,301.69/839,953.14 = 205,232.59/x
  3. Step 3: Cross multiply
    560,301.69x = 839,953.14 × 205,232.59
  4. Step 4: Simplify right side
    560,301.69x = 172,385,758,400.83
  5. Step 5: Solve for x
    x = 172,385,758,400.83/560,301.69
  6. Step 6: Final answer
    x = 307,665.96

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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.