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Finding the Fourth Proportional to 517,111.32, 713,025.27 and 364,100.61

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Solution

The fourth proportional to 517,111.32, 713,025.27 and 364,100.61 is: 502,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,111.32 : 713,025.27 = 364,100.61 : x
  2. Step 2: Convert to fraction form
    517,111.32/713,025.27 = 364,100.61/x
  3. Step 3: Cross multiply
    517,111.32x = 713,025.27 × 364,100.61
  4. Step 4: Simplify right side
    517,111.32x = 259,612,935,752.42
  5. Step 5: Solve for x
    x = 259,612,935,752.42/517,111.32
  6. Step 6: Final answer
    x = 502,044.58

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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.