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Finding the Fourth Proportional to 378,905.52, 522,886.28 and 209,136

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Solution

The fourth proportional to 378,905.52, 522,886.28 and 209,136 is: 288,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,905.52 : 522,886.28 = 209,136 : x
  2. Step 2: Convert to fraction form
    378,905.52/522,886.28 = 209,136/x
  3. Step 3: Cross multiply
    378,905.52x = 522,886.28 × 209,136
  4. Step 4: Simplify right side
    378,905.52x = 109,354,345,054.08
  5. Step 5: Solve for x
    x = 109,354,345,054.08/378,905.52
  6. Step 6: Final answer
    x = 288,605.84

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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.