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Finding the Fourth Proportional to 777,598.11, 1,073,090.63 and 433,456.31

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Solution

The fourth proportional to 777,598.11, 1,073,090.63 and 433,456.31 is: 598,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,598.11 : 1,073,090.63 = 433,456.31 : x
  2. Step 2: Convert to fraction form
    777,598.11/1,073,090.63 = 433,456.31/x
  3. Step 3: Cross multiply
    777,598.11x = 1,073,090.63 × 433,456.31
  4. Step 4: Simplify right side
    777,598.11x = 465,137,904,775.38
  5. Step 5: Solve for x
    x = 465,137,904,775.38/777,598.11
  6. Step 6: Final answer
    x = 598,172.63

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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.