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Finding the Fourth Proportional to 313,523.20, 432,710.92 and 177,564.16

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Solution

The fourth proportional to 313,523.20, 432,710.92 and 177,564.16 is: 245,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,523.20 : 432,710.92 = 177,564.16 : x
  2. Step 2: Convert to fraction form
    313,523.20/432,710.92 = 177,564.16/x
  3. Step 3: Cross multiply
    313,523.20x = 432,710.92 × 177,564.16
  4. Step 4: Simplify right side
    313,523.20x = 76,833,951,032.63
  5. Step 5: Solve for x
    x = 76,833,951,032.63/313,523.20
  6. Step 6: Final answer
    x = 245,066.24

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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.