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Finding the Fourth Proportional to 567,434.84, 782,998.26 and 312,737

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Solution

The fourth proportional to 567,434.84, 782,998.26 and 312,737 is: 431,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,434.84 : 782,998.26 = 312,737 : x
  2. Step 2: Convert to fraction form
    567,434.84/782,998.26 = 312,737/x
  3. Step 3: Cross multiply
    567,434.84x = 782,998.26 × 312,737
  4. Step 4: Simplify right side
    567,434.84x = 244,872,526,837.62
  5. Step 5: Solve for x
    x = 244,872,526,837.62/567,434.84
  6. Step 6: Final answer
    x = 431,542.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.