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Finding the Fourth Proportional to 378,042.46, 521,699.88 and 208,276.18

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Solution

The fourth proportional to 378,042.46, 521,699.88 and 208,276.18 is: 287,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,042.46 : 521,699.88 = 208,276.18 : x
  2. Step 2: Convert to fraction form
    378,042.46/521,699.88 = 208,276.18/x
  3. Step 3: Cross multiply
    378,042.46x = 521,699.88 × 208,276.18
  4. Step 4: Simplify right side
    378,042.46x = 108,657,658,112.86
  5. Step 5: Solve for x
    x = 108,657,658,112.86/378,042.46
  6. Step 6: Final answer
    x = 287,421.84

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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.