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Finding the Fourth Proportional to 314,231.20, 470,569.20 and 252,023.20

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Solution

The fourth proportional to 314,231.20, 470,569.20 and 252,023.20 is: 377,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,231.20 : 470,569.20 = 252,023.20 : x
  2. Step 2: Convert to fraction form
    314,231.20/470,569.20 = 252,023.20/x
  3. Step 3: Cross multiply
    314,231.20x = 470,569.20 × 252,023.20
  4. Step 4: Simplify right side
    314,231.20x = 118,594,355,605.44
  5. Step 5: Solve for x
    x = 118,594,355,605.44/314,231.20
  6. Step 6: Final answer
    x = 377,411.14

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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.