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Finding the Fourth Proportional to 378,153, 521,851.14 and 208,387.13

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Solution

The fourth proportional to 378,153, 521,851.14 and 208,387.13 is: 287,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,153 : 521,851.14 = 208,387.13 : x
  2. Step 2: Convert to fraction form
    378,153/521,851.14 = 208,387.13/x
  3. Step 3: Cross multiply
    378,153x = 521,851.14 × 208,387.13
  4. Step 4: Simplify right side
    378,153x = 108,747,058,742.57
  5. Step 5: Solve for x
    x = 108,747,058,742.57/378,153
  6. Step 6: Final answer
    x = 287,574.23

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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.