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Finding the Fourth Proportional to 310,349.52, 428,446 and 208,908.32

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Solution

The fourth proportional to 310,349.52, 428,446 and 208,908.32 is: 288,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,349.52 : 428,446 = 208,908.32 : x
  2. Step 2: Convert to fraction form
    310,349.52/428,446 = 208,908.32/x
  3. Step 3: Cross multiply
    310,349.52x = 428,446 × 208,908.32
  4. Step 4: Simplify right side
    310,349.52x = 89,505,934,070.72
  5. Step 5: Solve for x
    x = 89,505,934,070.72/310,349.52
  6. Step 6: Final answer
    x = 288,403.65

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