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Finding the Fourth Proportional to 297,380, 410,379.54 and 170,051.24

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Solution

The fourth proportional to 297,380, 410,379.54 and 170,051.24 is: 234,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,380 : 410,379.54 = 170,051.24 : x
  2. Step 2: Convert to fraction form
    297,380/410,379.54 = 170,051.24/x
  3. Step 3: Cross multiply
    297,380x = 410,379.54 × 170,051.24
  4. Step 4: Simplify right side
    297,380x = 69,785,549,647.63
  5. Step 5: Solve for x
    x = 69,785,549,647.63/297,380
  6. Step 6: Final answer
    x = 234,667.93

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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.