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Finding the Fourth Proportional to 410,997.92, 566,808.57 and 342,315.38

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Solution

The fourth proportional to 410,997.92, 566,808.57 and 342,315.38 is: 472,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,997.92 : 566,808.57 = 342,315.38 : x
  2. Step 2: Convert to fraction form
    410,997.92/566,808.57 = 342,315.38/x
  3. Step 3: Cross multiply
    410,997.92x = 566,808.57 × 342,315.38
  4. Step 4: Simplify right side
    410,997.92x = 194,027,292,443.83
  5. Step 5: Solve for x
    x = 194,027,292,443.83/410,997.92
  6. Step 6: Final answer
    x = 472,088.26

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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.