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Finding the Fourth Proportional to 309,301, 463,951.50 and 75,829

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Solution

The fourth proportional to 309,301, 463,951.50 and 75,829 is: 113,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,301 : 463,951.50 = 75,829 : x
  2. Step 2: Convert to fraction form
    309,301/463,951.50 = 75,829/x
  3. Step 3: Cross multiply
    309,301x = 463,951.50 × 75,829
  4. Step 4: Simplify right side
    309,301x = 35,180,978,293.50
  5. Step 5: Solve for x
    x = 35,180,978,293.50/309,301
  6. Step 6: Final answer
    x = 113,743.50

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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.