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Finding the Fourth Proportional to 380,170.35, 524,633.72 and 205,740.23

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Solution

The fourth proportional to 380,170.35, 524,633.72 and 205,740.23 is: 283,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,170.35 : 524,633.72 = 205,740.23 : x
  2. Step 2: Convert to fraction form
    380,170.35/524,633.72 = 205,740.23/x
  3. Step 3: Cross multiply
    380,170.35x = 524,633.72 × 205,740.23
  4. Step 4: Simplify right side
    380,170.35x = 107,938,258,566.69
  5. Step 5: Solve for x
    x = 107,938,258,566.69/380,170.35
  6. Step 6: Final answer
    x = 283,920.77

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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.