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Finding the Fourth Proportional to 471,672.24, 708,130.44 and 219,224.40

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Solution

The fourth proportional to 471,672.24, 708,130.44 and 219,224.40 is: 329,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,672.24 : 708,130.44 = 219,224.40 : x
  2. Step 2: Convert to fraction form
    471,672.24/708,130.44 = 219,224.40/x
  3. Step 3: Cross multiply
    471,672.24x = 708,130.44 × 219,224.40
  4. Step 4: Simplify right side
    471,672.24x = 155,239,470,830.74
  5. Step 5: Solve for x
    x = 155,239,470,830.74/471,672.24
  6. Step 6: Final answer
    x = 329,125.73

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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.