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Finding the Fourth Proportional to 468,652.10, 702,978.15 and 309,219.80

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Solution

The fourth proportional to 468,652.10, 702,978.15 and 309,219.80 is: 463,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,652.10 : 702,978.15 = 309,219.80 : x
  2. Step 2: Convert to fraction form
    468,652.10/702,978.15 = 309,219.80/x
  3. Step 3: Cross multiply
    468,652.10x = 702,978.15 × 309,219.80
  4. Step 4: Simplify right side
    468,652.10x = 217,374,762,947.37
  5. Step 5: Solve for x
    x = 217,374,762,947.37/468,652.10
  6. Step 6: Final answer
    x = 463,829.70

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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.