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Finding the Fourth Proportional to 506,296.14, 698,702.67 and 279,949.74

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Solution

The fourth proportional to 506,296.14, 698,702.67 and 279,949.74 is: 386,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,296.14 : 698,702.67 = 279,949.74 : x
  2. Step 2: Convert to fraction form
    506,296.14/698,702.67 = 279,949.74/x
  3. Step 3: Cross multiply
    506,296.14x = 698,702.67 × 279,949.74
  4. Step 4: Simplify right side
    506,296.14x = 195,601,630,803.81
  5. Step 5: Solve for x
    x = 195,601,630,803.81/506,296.14
  6. Step 6: Final answer
    x = 386,338.38

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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.