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Finding the Fourth Proportional to 468,308.60, 702,461.86 and 361,847.24

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Solution

The fourth proportional to 468,308.60, 702,461.86 and 361,847.24 is: 542,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,308.60 : 702,461.86 = 361,847.24 : x
  2. Step 2: Convert to fraction form
    468,308.60/702,461.86 = 361,847.24/x
  3. Step 3: Cross multiply
    468,308.60x = 702,461.86 × 361,847.24
  4. Step 4: Simplify right side
    468,308.60x = 254,183,885,246.27
  5. Step 5: Solve for x
    x = 254,183,885,246.27/468,308.60
  6. Step 6: Final answer
    x = 542,770.06

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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.