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Finding the Fourth Proportional to 378,053.02, 521,712.85 and 208,287.14

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Solution

The fourth proportional to 378,053.02, 521,712.85 and 208,287.14 is: 287,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,053.02 : 521,712.85 = 208,287.14 : x
  2. Step 2: Convert to fraction form
    378,053.02/521,712.85 = 208,287.14/x
  3. Step 3: Cross multiply
    378,053.02x = 521,712.85 × 208,287.14
  4. Step 4: Simplify right side
    378,053.02x = 108,666,076,386.31
  5. Step 5: Solve for x
    x = 108,666,076,386.31/378,053.02
  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.