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Finding the Fourth Proportional to 293,674, 405,235.74 and 172,788.70

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Solution

The fourth proportional to 293,674, 405,235.74 and 172,788.70 is: 238,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,674 : 405,235.74 = 172,788.70 : x
  2. Step 2: Convert to fraction form
    293,674/405,235.74 = 172,788.70/x
  3. Step 3: Cross multiply
    293,674x = 405,235.74 × 172,788.70
  4. Step 4: Simplify right side
    293,674x = 70,020,156,708.14
  5. Step 5: Solve for x
    x = 70,020,156,708.14/293,674
  6. Step 6: Final answer
    x = 238,428.18

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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.