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Finding the Fourth Proportional to 309,580.48, 464,291.74 and 96,306.67

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Solution

The fourth proportional to 309,580.48, 464,291.74 and 96,306.67 is: 144,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,580.48 : 464,291.74 = 96,306.67 : x
  2. Step 2: Convert to fraction form
    309,580.48/464,291.74 = 96,306.67/x
  3. Step 3: Cross multiply
    309,580.48x = 464,291.74 × 96,306.67
  4. Step 4: Simplify right side
    309,580.48x = 44,714,388,584.91
  5. Step 5: Solve for x
    x = 44,714,388,584.91/309,580.48
  6. Step 6: Final answer
    x = 144,435.43

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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.