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Finding the Fourth Proportional to 378,564.84, 522,415.98 and 208,800.18

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Solution

The fourth proportional to 378,564.84, 522,415.98 and 208,800.18 is: 288,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,564.84 : 522,415.98 = 208,800.18 : x
  2. Step 2: Convert to fraction form
    378,564.84/522,415.98 = 208,800.18/x
  3. Step 3: Cross multiply
    378,564.84x = 522,415.98 × 208,800.18
  4. Step 4: Simplify right side
    378,564.84x = 109,080,550,658.88
  5. Step 5: Solve for x
    x = 109,080,550,658.88/378,564.84
  6. Step 6: Final answer
    x = 288,142.32

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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.