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Finding the Fourth Proportional to 471,247.20, 707,216.40 and 313,423.20

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Solution

The fourth proportional to 471,247.20, 707,216.40 and 313,423.20 is: 470,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,247.20 : 707,216.40 = 313,423.20 : x
  2. Step 2: Convert to fraction form
    471,247.20/707,216.40 = 313,423.20/x
  3. Step 3: Cross multiply
    471,247.20x = 707,216.40 × 313,423.20
  4. Step 4: Simplify right side
    471,247.20x = 221,658,027,180.48
  5. Step 5: Solve for x
    x = 221,658,027,180.48/471,247.20
  6. Step 6: Final answer
    x = 470,364.66

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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.