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Finding the Fourth Proportional to 380,515.41, 525,115.13 and 229,583.25

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Solution

The fourth proportional to 380,515.41, 525,115.13 and 229,583.25 is: 316,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,515.41 : 525,115.13 = 229,583.25 : x
  2. Step 2: Convert to fraction form
    380,515.41/525,115.13 = 229,583.25/x
  3. Step 3: Cross multiply
    380,515.41x = 525,115.13 × 229,583.25
  4. Step 4: Simplify right side
    380,515.41x = 120,557,637,021.66
  5. Step 5: Solve for x
    x = 120,557,637,021.66/380,515.41
  6. Step 6: Final answer
    x = 316,827.21

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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.