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Finding the Fourth Proportional to 293,511.84, 405,023.40 and 172,657.68

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Solution

The fourth proportional to 293,511.84, 405,023.40 and 172,657.68 is: 238,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,511.84 : 405,023.40 = 172,657.68 : x
  2. Step 2: Convert to fraction form
    293,511.84/405,023.40 = 172,657.68/x
  3. Step 3: Cross multiply
    293,511.84x = 405,023.40 × 172,657.68
  4. Step 4: Simplify right side
    293,511.84x = 69,930,400,589.71
  5. Step 5: Solve for x
    x = 69,930,400,589.71/293,511.84
  6. Step 6: Final answer
    x = 238,254.10

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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.