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Finding the Fourth Proportional to 359,856.46, 539,786.46 and 146,626.50

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Solution

The fourth proportional to 359,856.46, 539,786.46 and 146,626.50 is: 219,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,856.46 : 539,786.46 = 146,626.50 : x
  2. Step 2: Convert to fraction form
    359,856.46/539,786.46 = 146,626.50/x
  3. Step 3: Cross multiply
    359,856.46x = 539,786.46 × 146,626.50
  4. Step 4: Simplify right side
    359,856.46x = 79,147,000,714.08
  5. Step 5: Solve for x
    x = 79,147,000,714.08/359,856.46
  6. Step 6: Final answer
    x = 219,940.48

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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.