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Finding the Fourth Proportional to 380,811.17, 525,519.42 and 211,056.23

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Solution

The fourth proportional to 380,811.17, 525,519.42 and 211,056.23 is: 291,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,811.17 : 525,519.42 = 211,056.23 : x
  2. Step 2: Convert to fraction form
    380,811.17/525,519.42 = 211,056.23/x
  3. Step 3: Cross multiply
    380,811.17x = 525,519.42 × 211,056.23
  4. Step 4: Simplify right side
    380,811.17x = 110,914,146,521.71
  5. Step 5: Solve for x
    x = 110,914,146,521.71/380,811.17
  6. Step 6: Final answer
    x = 291,257.60

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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.