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Finding the Fourth Proportional to 537,805.66, 742,143.62 and 296,041

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Solution

The fourth proportional to 537,805.66, 742,143.62 and 296,041 is: 408,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,805.66 : 742,143.62 = 296,041 : x
  2. Step 2: Convert to fraction form
    537,805.66/742,143.62 = 296,041/x
  3. Step 3: Cross multiply
    537,805.66x = 742,143.62 × 296,041
  4. Step 4: Simplify right side
    537,805.66x = 219,704,939,408.42
  5. Step 5: Solve for x
    x = 219,704,939,408.42/537,805.66
  6. Step 6: Final answer
    x = 408,521.06

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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.