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Finding the Fourth Proportional to 293,564.93, 405,112.74 and 172,714.00

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Solution

The fourth proportional to 293,564.93, 405,112.74 and 172,714.00 is: 238,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,564.93 : 405,112.74 = 172,714.00 : x
  2. Step 2: Convert to fraction form
    293,564.93/405,112.74 = 172,714.00/x
  3. Step 3: Cross multiply
    293,564.93x = 405,112.74 × 172,714.00
  4. Step 4: Simplify right side
    293,564.93x = 69,968,640,707.62
  5. Step 5: Solve for x
    x = 69,968,640,707.62/293,564.93
  6. Step 6: Final answer
    x = 238,341.28

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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.