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Finding the Fourth Proportional to 537,780.56, 742,133.22 and 296,067.38

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Solution

The fourth proportional to 537,780.56, 742,133.22 and 296,067.38 is: 408,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,780.56 : 742,133.22 = 296,067.38 : x
  2. Step 2: Convert to fraction form
    537,780.56/742,133.22 = 296,067.38/x
  3. Step 3: Cross multiply
    537,780.56x = 742,133.22 × 296,067.38
  4. Step 4: Simplify right side
    537,780.56x = 219,721,438,056.36
  5. Step 5: Solve for x
    x = 219,721,438,056.36/537,780.56
  6. Step 6: Final answer
    x = 408,570.81

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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.