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Finding the Fourth Proportional to 665,347.85, 996,873.60 and 309,632.30

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Solution

The fourth proportional to 665,347.85, 996,873.60 and 309,632.30 is: 463,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,347.85 : 996,873.60 = 309,632.30 : x
  2. Step 2: Convert to fraction form
    665,347.85/996,873.60 = 309,632.30/x
  3. Step 3: Cross multiply
    665,347.85x = 996,873.60 × 309,632.30
  4. Step 4: Simplify right side
    665,347.85x = 308,664,265,577.28
  5. Step 5: Solve for x
    x = 308,664,265,577.28/665,347.85
  6. Step 6: Final answer
    x = 463,914.12

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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.