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Finding the Fourth Proportional to 410,065.68, 565,890.99 and 228,777.65

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Solution

The fourth proportional to 410,065.68, 565,890.99 and 228,777.65 is: 315,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,065.68 : 565,890.99 = 228,777.65 : x
  2. Step 2: Convert to fraction form
    410,065.68/565,890.99 = 228,777.65/x
  3. Step 3: Cross multiply
    410,065.68x = 565,890.99 × 228,777.65
  4. Step 4: Simplify right side
    410,065.68x = 129,463,208,018.92
  5. Step 5: Solve for x
    x = 129,463,208,018.92/410,065.68
  6. Step 6: Final answer
    x = 315,713.35

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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.