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Finding the Fourth Proportional to 559,516.86, 839,523.42 and 293,214.11

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Solution

The fourth proportional to 559,516.86, 839,523.42 and 293,214.11 is: 439,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,516.86 : 839,523.42 = 293,214.11 : x
  2. Step 2: Convert to fraction form
    559,516.86/839,523.42 = 293,214.11/x
  3. Step 3: Cross multiply
    559,516.86x = 839,523.42 × 293,214.11
  4. Step 4: Simplify right side
    559,516.86x = 246,160,108,221.84
  5. Step 5: Solve for x
    x = 246,160,108,221.84/559,516.86
  6. Step 6: Final answer
    x = 439,951.19

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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.