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Finding the Fourth Proportional to 380,542.13, 525,148.13 and 210,787.19

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Solution

The fourth proportional to 380,542.13, 525,148.13 and 210,787.19 is: 290,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,542.13 : 525,148.13 = 210,787.19 : x
  2. Step 2: Convert to fraction form
    380,542.13/525,148.13 = 210,787.19/x
  3. Step 3: Cross multiply
    380,542.13x = 525,148.13 × 210,787.19
  4. Step 4: Simplify right side
    380,542.13x = 110,694,496,557.68
  5. Step 5: Solve for x
    x = 110,694,496,557.68/380,542.13
  6. Step 6: Final answer
    x = 290,886.32

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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.