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Finding the Fourth Proportional to 532,612.86, 734,994.36 and 290,896.38

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Solution

The fourth proportional to 532,612.86, 734,994.36 and 290,896.38 is: 401,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,612.86 : 734,994.36 = 290,896.38 : x
  2. Step 2: Convert to fraction form
    532,612.86/734,994.36 = 290,896.38/x
  3. Step 3: Cross multiply
    532,612.86x = 734,994.36 × 290,896.38
  4. Step 4: Simplify right side
    532,612.86x = 213,807,198,644.42
  5. Step 5: Solve for x
    x = 213,807,198,644.42/532,612.86
  6. Step 6: Final answer
    x = 401,430.79

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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.