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Finding the Fourth Proportional to 378,054.36, 521,715.06 and 208,287

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Solution

The fourth proportional to 378,054.36, 521,715.06 and 208,287 is: 287,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,054.36 : 521,715.06 = 208,287 : x
  2. Step 2: Convert to fraction form
    378,054.36/521,715.06 = 208,287/x
  3. Step 3: Cross multiply
    378,054.36x = 521,715.06 × 208,287
  4. Step 4: Simplify right side
    378,054.36x = 108,666,464,702.22
  5. Step 5: Solve for x
    x = 108,666,464,702.22/378,054.36
  6. Step 6: Final answer
    x = 287,436.08

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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.