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Finding the Fourth Proportional to 314,230.20, 470,567.70 and 252,022.20

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Solution

The fourth proportional to 314,230.20, 470,567.70 and 252,022.20 is: 377,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,230.20 : 470,567.70 = 252,022.20 : x
  2. Step 2: Convert to fraction form
    314,230.20/470,567.70 = 252,022.20/x
  3. Step 3: Cross multiply
    314,230.20x = 470,567.70 × 252,022.20
  4. Step 4: Simplify right side
    314,230.20x = 118,593,507,002.94
  5. Step 5: Solve for x
    x = 118,593,507,002.94/314,230.20
  6. Step 6: Final answer
    x = 377,409.64

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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.