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Finding the Fourth Proportional to 496,155.66, 684,694.05 and 302,563.04

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Solution

The fourth proportional to 496,155.66, 684,694.05 and 302,563.04 is: 417,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,155.66 : 684,694.05 = 302,563.04 : x
  2. Step 2: Convert to fraction form
    496,155.66/684,694.05 = 302,563.04/x
  3. Step 3: Cross multiply
    496,155.66x = 684,694.05 × 302,563.04
  4. Step 4: Simplify right side
    496,155.66x = 207,163,109,814.44
  5. Step 5: Solve for x
    x = 207,163,109,814.44/496,155.66
  6. Step 6: Final answer
    x = 417,536.52

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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.