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Finding the Fourth Proportional to 370,484.98, 511,269.77 and 200,719.10

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Solution

The fourth proportional to 370,484.98, 511,269.77 and 200,719.10 is: 276,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,484.98 : 511,269.77 = 200,719.10 : x
  2. Step 2: Convert to fraction form
    370,484.98/511,269.77 = 200,719.10/x
  3. Step 3: Cross multiply
    370,484.98x = 511,269.77 × 200,719.10
  4. Step 4: Simplify right side
    370,484.98x = 102,621,609,871.58
  5. Step 5: Solve for x
    x = 102,621,609,871.58/370,484.98
  6. Step 6: Final answer
    x = 276,992.63

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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.