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Finding the Fourth Proportional to 270,846.72, 406,423.68 and 146,184.96

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Solution

The fourth proportional to 270,846.72, 406,423.68 and 146,184.96 is: 219,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,846.72 : 406,423.68 = 146,184.96 : x
  2. Step 2: Convert to fraction form
    270,846.72/406,423.68 = 146,184.96/x
  3. Step 3: Cross multiply
    270,846.72x = 406,423.68 × 146,184.96
  4. Step 4: Simplify right side
    270,846.72x = 59,413,029,403.85
  5. Step 5: Solve for x
    x = 59,413,029,403.85/270,846.72
  6. Step 6: Final answer
    x = 219,360.34

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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.