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Finding the Fourth Proportional to 309,981.80, 464,528.64 and 176,586.62

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Solution

The fourth proportional to 309,981.80, 464,528.64 and 176,586.62 is: 264,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,981.80 : 464,528.64 = 176,586.62 : x
  2. Step 2: Convert to fraction form
    309,981.80/464,528.64 = 176,586.62/x
  3. Step 3: Cross multiply
    309,981.80x = 464,528.64 × 176,586.62
  4. Step 4: Simplify right side
    309,981.80x = 82,029,542,430.80
  5. Step 5: Solve for x
    x = 82,029,542,430.80/309,981.80
  6. Step 6: Final answer
    x = 264,626.96

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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.