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Finding the Fourth Proportional to 417,688.65, 576,406.80 and 226,697.94

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Solution

The fourth proportional to 417,688.65, 576,406.80 and 226,697.94 is: 312,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,688.65 : 576,406.80 = 226,697.94 : x
  2. Step 2: Convert to fraction form
    417,688.65/576,406.80 = 226,697.94/x
  3. Step 3: Cross multiply
    417,688.65x = 576,406.80 × 226,697.94
  4. Step 4: Simplify right side
    417,688.65x = 130,670,234,161.99
  5. Step 5: Solve for x
    x = 130,670,234,161.99/417,688.65
  6. Step 6: Final answer
    x = 312,841.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.