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Finding the Fourth Proportional to 537,866.40, 742,249.62 and 296,144.04

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Solution

The fourth proportional to 537,866.40, 742,249.62 and 296,144.04 is: 408,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,866.40 : 742,249.62 = 296,144.04 : x
  2. Step 2: Convert to fraction form
    537,866.40/742,249.62 = 296,144.04/x
  3. Step 3: Cross multiply
    537,866.40x = 742,249.62 × 296,144.04
  4. Step 4: Simplify right side
    537,866.40x = 219,812,801,155.27
  5. Step 5: Solve for x
    x = 219,812,801,155.27/537,866.40
  6. Step 6: Final answer
    x = 408,675.47

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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.