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Finding the Fourth Proportional to 796,062, 1,098,543.42 and 433,477.92

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Solution

The fourth proportional to 796,062, 1,098,543.42 and 433,477.92 is: 598,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,062 : 1,098,543.42 = 433,477.92 : x
  2. Step 2: Convert to fraction form
    796,062/1,098,543.42 = 433,477.92/x
  3. Step 3: Cross multiply
    796,062x = 1,098,543.42 × 433,477.92
  4. Step 4: Simplify right side
    796,062x = 476,194,316,731.29
  5. Step 5: Solve for x
    x = 476,194,316,731.29/796,062
  6. Step 6: Final answer
    x = 598,187.47

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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.