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Finding the Fourth Proportional to 796,064, 1,098,546.18 and 433,479.92

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Solution

The fourth proportional to 796,064, 1,098,546.18 and 433,479.92 is: 598,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,064 : 1,098,546.18 = 433,479.92 : x
  2. Step 2: Convert to fraction form
    796,064/1,098,546.18 = 433,479.92/x
  3. Step 3: Cross multiply
    796,064x = 1,098,546.18 × 433,479.92
  4. Step 4: Simplify right side
    796,064x = 476,197,710,222.71
  5. Step 5: Solve for x
    x = 476,197,710,222.71/796,064
  6. Step 6: Final answer
    x = 598,190.23

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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.