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Finding the Fourth Proportional to 314,112, 433,474.56 and 172,800

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Solution

The fourth proportional to 314,112, 433,474.56 and 172,800 is: 238,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,112 : 433,474.56 = 172,800 : x
  2. Step 2: Convert to fraction form
    314,112/433,474.56 = 172,800/x
  3. Step 3: Cross multiply
    314,112x = 433,474.56 × 172,800
  4. Step 4: Simplify right side
    314,112x = 74,904,403,968
  5. Step 5: Solve for x
    x = 74,904,403,968/314,112
  6. Step 6: Final answer
    x = 238,464

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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.