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Finding the Fourth Proportional to 537,801.65, 742,138.11 and 296,037

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Solution

The fourth proportional to 537,801.65, 742,138.11 and 296,037 is: 408,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,801.65 : 742,138.11 = 296,037 : x
  2. Step 2: Convert to fraction form
    537,801.65/742,138.11 = 296,037/x
  3. Step 3: Cross multiply
    537,801.65x = 742,138.11 × 296,037
  4. Step 4: Simplify right side
    537,801.65x = 219,700,339,670.07
  5. Step 5: Solve for x
    x = 219,700,339,670.07/537,801.65
  6. Step 6: Final answer
    x = 408,515.56

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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.