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Finding the Fourth Proportional to 517,772.86, 714,355.30 and 302,760.69

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Solution

The fourth proportional to 517,772.86, 714,355.30 and 302,760.69 is: 417,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,772.86 : 714,355.30 = 302,760.69 : x
  2. Step 2: Convert to fraction form
    517,772.86/714,355.30 = 302,760.69/x
  3. Step 3: Cross multiply
    517,772.86x = 714,355.30 × 302,760.69
  4. Step 4: Simplify right side
    517,772.86x = 216,278,701,232.78
  5. Step 5: Solve for x
    x = 216,278,701,232.78/517,772.86
  6. Step 6: Final answer
    x = 417,709.62

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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.