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Finding the Fourth Proportional to 559,596.90, 839,723.40 and 204,646.80

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Solution

The fourth proportional to 559,596.90, 839,723.40 and 204,646.80 is: 307,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,596.90 : 839,723.40 = 204,646.80 : x
  2. Step 2: Convert to fraction form
    559,596.90/839,723.40 = 204,646.80/x
  3. Step 3: Cross multiply
    559,596.90x = 839,723.40 × 204,646.80
  4. Step 4: Simplify right side
    559,596.90x = 171,846,706,695.12
  5. Step 5: Solve for x
    x = 171,846,706,695.12/559,596.90
  6. Step 6: Final answer
    x = 307,090.17

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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.