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Finding the Fourth Proportional to 407,901.98, 611,789.79 and 208,369.82

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Solution

The fourth proportional to 407,901.98, 611,789.79 and 208,369.82 is: 312,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,901.98 : 611,789.79 = 208,369.82 : x
  2. Step 2: Convert to fraction form
    407,901.98/611,789.79 = 208,369.82/x
  3. Step 3: Cross multiply
    407,901.98x = 611,789.79 × 208,369.82
  4. Step 4: Simplify right side
    407,901.98x = 127,478,528,420.14
  5. Step 5: Solve for x
    x = 127,478,528,420.14/407,901.98
  6. Step 6: Final answer
    x = 312,522.46

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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.