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Finding the Fourth Proportional to 796,216.40, 1,098,762.18 and 433,646.62

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Solution

The fourth proportional to 796,216.40, 1,098,762.18 and 433,646.62 is: 598,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,216.40 : 1,098,762.18 = 433,646.62 : x
  2. Step 2: Convert to fraction form
    796,216.40/1,098,762.18 = 433,646.62/x
  3. Step 3: Cross multiply
    796,216.40x = 1,098,762.18 × 433,646.62
  4. Step 4: Simplify right side
    796,216.40x = 476,474,505,540.83
  5. Step 5: Solve for x
    x = 476,474,505,540.83/796,216.40
  6. Step 6: Final answer
    x = 598,423.38

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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.