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Finding the Fourth Proportional to 380,721.84, 525,396.06 and 227,766.51

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Solution

The fourth proportional to 380,721.84, 525,396.06 and 227,766.51 is: 314,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,721.84 : 525,396.06 = 227,766.51 : x
  2. Step 2: Convert to fraction form
    380,721.84/525,396.06 = 227,766.51/x
  3. Step 3: Cross multiply
    380,721.84x = 525,396.06 × 227,766.51
  4. Step 4: Simplify right side
    380,721.84x = 119,667,626,953.95
  5. Step 5: Solve for x
    x = 119,667,626,953.95/380,721.84
  6. Step 6: Final answer
    x = 314,317.74

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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.