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Finding the Fourth Proportional to 506,208.41, 698,537.61 and 279,840.41

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Solution

The fourth proportional to 506,208.41, 698,537.61 and 279,840.41 is: 386,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,208.41 : 698,537.61 = 279,840.41 : x
  2. Step 2: Convert to fraction form
    506,208.41/698,537.61 = 279,840.41/x
  3. Step 3: Cross multiply
    506,208.41x = 698,537.61 × 279,840.41
  4. Step 4: Simplify right side
    506,208.41x = 195,479,051,182.82
  5. Step 5: Solve for x
    x = 195,479,051,182.82/506,208.41
  6. Step 6: Final answer
    x = 386,163.18

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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.