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Finding the Fourth Proportional to 468,663.10, 702,994.65 and 309,230.80

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Solution

The fourth proportional to 468,663.10, 702,994.65 and 309,230.80 is: 463,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,663.10 : 702,994.65 = 309,230.80 : x
  2. Step 2: Convert to fraction form
    468,663.10/702,994.65 = 309,230.80/x
  3. Step 3: Cross multiply
    468,663.10x = 702,994.65 × 309,230.80
  4. Step 4: Simplify right side
    468,663.10x = 217,387,598,015.22
  5. Step 5: Solve for x
    x = 217,387,598,015.22/468,663.10
  6. Step 6: Final answer
    x = 463,846.20

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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.