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Finding the Fourth Proportional to 380,497.24, 525,116.10 and 210,747.16

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Solution

The fourth proportional to 380,497.24, 525,116.10 and 210,747.16 is: 290,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,497.24 : 525,116.10 = 210,747.16 : x
  2. Step 2: Convert to fraction form
    380,497.24/525,116.10 = 210,747.16/x
  3. Step 3: Cross multiply
    380,497.24x = 525,116.10 × 210,747.16
  4. Step 4: Simplify right side
    380,497.24x = 110,666,726,745.28
  5. Step 5: Solve for x
    x = 110,666,726,745.28/380,497.24
  6. Step 6: Final answer
    x = 290,847.65

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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.