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Finding the Fourth Proportional to 297,379, 410,378.16 and 170,050.24

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Solution

The fourth proportional to 297,379, 410,378.16 and 170,050.24 is: 234,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,379 : 410,378.16 = 170,050.24 : x
  2. Step 2: Convert to fraction form
    297,379/410,378.16 = 170,050.24/x
  3. Step 3: Cross multiply
    297,379x = 410,378.16 × 170,050.24
  4. Step 4: Simplify right side
    297,379x = 69,784,904,598.76
  5. Step 5: Solve for x
    x = 69,784,904,598.76/297,379
  6. Step 6: Final answer
    x = 234,666.55

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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.