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Finding the Fourth Proportional to 308,967.80, 463,451.70 and 308,967.80

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Solution

The fourth proportional to 308,967.80, 463,451.70 and 308,967.80 is: 463,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,967.80 : 463,451.70 = 308,967.80 : x
  2. Step 2: Convert to fraction form
    308,967.80/463,451.70 = 308,967.80/x
  3. Step 3: Cross multiply
    308,967.80x = 463,451.70 × 308,967.80
  4. Step 4: Simplify right side
    308,967.80x = 143,191,652,155.26
  5. Step 5: Solve for x
    x = 143,191,652,155.26/308,967.80
  6. Step 6: Final answer
    x = 463,451.70

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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.