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Finding the Fourth Proportional to 380,728.92, 525,409.02 and 210,965.88

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Solution

The fourth proportional to 380,728.92, 525,409.02 and 210,965.88 is: 291,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,728.92 : 525,409.02 = 210,965.88 : x
  2. Step 2: Convert to fraction form
    380,728.92/525,409.02 = 210,965.88/x
  3. Step 3: Cross multiply
    380,728.92x = 525,409.02 × 210,965.88
  4. Step 4: Simplify right side
    380,728.92x = 110,843,376,264.24
  5. Step 5: Solve for x
    x = 110,843,376,264.24/380,728.92
  6. Step 6: Final answer
    x = 291,134.64

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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.