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Finding the Fourth Proportional to 293,666, 405,224.70 and 172,780.70

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Solution

The fourth proportional to 293,666, 405,224.70 and 172,780.70 is: 238,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,666 : 405,224.70 = 172,780.70 : x
  2. Step 2: Convert to fraction form
    293,666/405,224.70 = 172,780.70/x
  3. Step 3: Cross multiply
    293,666x = 405,224.70 × 172,780.70
  4. Step 4: Simplify right side
    293,666x = 70,015,007,323.29
  5. Step 5: Solve for x
    x = 70,015,007,323.29/293,666
  6. Step 6: Final answer
    x = 238,417.14

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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.