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Finding the Fourth Proportional to 293,670, 405,230.22 and 172,784.70

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Solution

The fourth proportional to 293,670, 405,230.22 and 172,784.70 is: 238,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,670 : 405,230.22 = 172,784.70 : x
  2. Step 2: Convert to fraction form
    293,670/405,230.22 = 172,784.70/x
  3. Step 3: Cross multiply
    293,670x = 405,230.22 × 172,784.70
  4. Step 4: Simplify right side
    293,670x = 70,017,581,993.63
  5. Step 5: Solve for x
    x = 70,017,581,993.63/293,670
  6. Step 6: Final answer
    x = 238,422.66

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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.