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Finding the Fourth Proportional to 468,661.10, 702,991.65 and 309,228.80

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Solution

The fourth proportional to 468,661.10, 702,991.65 and 309,228.80 is: 463,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,661.10 : 702,991.65 = 309,228.80 : x
  2. Step 2: Convert to fraction form
    468,661.10/702,991.65 = 309,228.80/x
  3. Step 3: Cross multiply
    468,661.10x = 702,991.65 × 309,228.80
  4. Step 4: Simplify right side
    468,661.10x = 217,385,264,339.52
  5. Step 5: Solve for x
    x = 217,385,264,339.52/468,661.10
  6. Step 6: Final answer
    x = 463,843.20

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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.