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Finding the Fourth Proportional to 345,296.71, 476,533.38 and 209,336.32

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Solution

The fourth proportional to 345,296.71, 476,533.38 and 209,336.32 is: 288,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,296.71 : 476,533.38 = 209,336.32 : x
  2. Step 2: Convert to fraction form
    345,296.71/476,533.38 = 209,336.32/x
  3. Step 3: Cross multiply
    345,296.71x = 476,533.38 × 209,336.32
  4. Step 4: Simplify right side
    345,296.71x = 99,755,744,126.36
  5. Step 5: Solve for x
    x = 99,755,744,126.36/345,296.71
  6. Step 6: Final answer
    x = 288,898.62

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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.