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Finding the Fourth Proportional to 378,983.84, 522,983.88 and 209,214.32

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Solution

The fourth proportional to 378,983.84, 522,983.88 and 209,214.32 is: 288,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,983.84 : 522,983.88 = 209,214.32 : x
  2. Step 2: Convert to fraction form
    378,983.84/522,983.88 = 209,214.32/x
  3. Step 3: Cross multiply
    378,983.84x = 522,983.88 × 209,214.32
  4. Step 4: Simplify right side
    378,983.84x = 109,415,716,825.16
  5. Step 5: Solve for x
    x = 109,415,716,825.16/378,983.84
  6. Step 6: Final answer
    x = 288,708.13

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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.