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Finding the Fourth Proportional to 380,307.58, 524,265.26 and 289,505.26

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Solution

The fourth proportional to 380,307.58, 524,265.26 and 289,505.26 is: 399,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,307.58 : 524,265.26 = 289,505.26 : x
  2. Step 2: Convert to fraction form
    380,307.58/524,265.26 = 289,505.26/x
  3. Step 3: Cross multiply
    380,307.58x = 524,265.26 × 289,505.26
  4. Step 4: Simplify right side
    380,307.58x = 151,777,550,405.27
  5. Step 5: Solve for x
    x = 151,777,550,405.27/380,307.58
  6. Step 6: Final answer
    x = 399,091.57

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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.