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Finding the Fourth Proportional to 378,101.84, 521,790.18 and 208,336.10

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Solution

The fourth proportional to 378,101.84, 521,790.18 and 208,336.10 is: 287,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,101.84 : 521,790.18 = 208,336.10 : x
  2. Step 2: Convert to fraction form
    378,101.84/521,790.18 = 208,336.10/x
  3. Step 3: Cross multiply
    378,101.84x = 521,790.18 × 208,336.10
  4. Step 4: Simplify right side
    378,101.84x = 108,707,731,119.50
  5. Step 5: Solve for x
    x = 108,707,731,119.50/378,101.84
  6. Step 6: Final answer
    x = 287,509.13

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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.