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Finding the Fourth Proportional to 370,538.92, 511,345.47 and 200,773

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Solution

The fourth proportional to 370,538.92, 511,345.47 and 200,773 is: 277,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,538.92 : 511,345.47 = 200,773 : x
  2. Step 2: Convert to fraction form
    370,538.92/511,345.47 = 200,773/x
  3. Step 3: Cross multiply
    370,538.92x = 511,345.47 × 200,773
  4. Step 4: Simplify right side
    370,538.92x = 102,664,364,048.31
  5. Step 5: Solve for x
    x = 102,664,364,048.31/370,538.92
  6. Step 6: Final answer
    x = 277,067.69

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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.