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Finding the Fourth Proportional to 471,138.80, 704,980.20 and 346,722.80

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Solution

The fourth proportional to 471,138.80, 704,980.20 and 346,722.80 is: 518,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,138.80 : 704,980.20 = 346,722.80 : x
  2. Step 2: Convert to fraction form
    471,138.80/704,980.20 = 346,722.80/x
  3. Step 3: Cross multiply
    471,138.80x = 704,980.20 × 346,722.80
  4. Step 4: Simplify right side
    471,138.80x = 244,432,708,888.56
  5. Step 5: Solve for x
    x = 244,432,708,888.56/471,138.80
  6. Step 6: Final answer
    x = 518,812.52

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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.