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Finding the Fourth Proportional to 380,361.13, 524,914.76 and 210,595.25

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Solution

The fourth proportional to 380,361.13, 524,914.76 and 210,595.25 is: 290,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,361.13 : 524,914.76 = 210,595.25 : x
  2. Step 2: Convert to fraction form
    380,361.13/524,914.76 = 210,595.25/x
  3. Step 3: Cross multiply
    380,361.13x = 524,914.76 × 210,595.25
  4. Step 4: Simplify right side
    380,361.13x = 110,544,555,110.89
  5. Step 5: Solve for x
    x = 110,544,555,110.89/380,361.13
  6. Step 6: Final answer
    x = 290,630.53

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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.