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Finding the Fourth Proportional to 384,012.96, 576,518.40 and 295,329.30

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Solution

The fourth proportional to 384,012.96, 576,518.40 and 295,329.30 is: 443,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,012.96 : 576,518.40 = 295,329.30 : x
  2. Step 2: Convert to fraction form
    384,012.96/576,518.40 = 295,329.30/x
  3. Step 3: Cross multiply
    384,012.96x = 576,518.40 × 295,329.30
  4. Step 4: Simplify right side
    384,012.96x = 170,262,775,509.12
  5. Step 5: Solve for x
    x = 170,262,775,509.12/384,012.96
  6. Step 6: Final answer
    x = 443,377.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.