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Finding the Fourth Proportional to 378,980.32, 522,979.11 and 209,210.80

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Solution

The fourth proportional to 378,980.32, 522,979.11 and 209,210.80 is: 288,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,980.32 : 522,979.11 = 209,210.80 : x
  2. Step 2: Convert to fraction form
    378,980.32/522,979.11 = 209,210.80/x
  3. Step 3: Cross multiply
    378,980.32x = 522,979.11 × 209,210.80
  4. Step 4: Simplify right side
    378,980.32x = 109,412,877,986.39
  5. Step 5: Solve for x
    x = 109,412,877,986.39/378,980.32
  6. Step 6: Final answer
    x = 288,703.32

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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.