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Finding the Fourth Proportional to 610,352.10, 915,614.55 and 189,584.10

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Solution

The fourth proportional to 610,352.10, 915,614.55 and 189,584.10 is: 284,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,352.10 : 915,614.55 = 189,584.10 : x
  2. Step 2: Convert to fraction form
    610,352.10/915,614.55 = 189,584.10/x
  3. Step 3: Cross multiply
    610,352.10x = 915,614.55 × 189,584.10
  4. Step 4: Simplify right side
    610,352.10x = 173,585,960,408.66
  5. Step 5: Solve for x
    x = 173,585,960,408.66/610,352.10
  6. Step 6: Final answer
    x = 284,402.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.