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Finding the Fourth Proportional to 567,574.24, 783,388.92 and 341,176

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Solution

The fourth proportional to 567,574.24, 783,388.92 and 341,176 is: 470,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,574.24 : 783,388.92 = 341,176 : x
  2. Step 2: Convert to fraction form
    567,574.24/783,388.92 = 341,176/x
  3. Step 3: Cross multiply
    567,574.24x = 783,388.92 × 341,176
  4. Step 4: Simplify right side
    567,574.24x = 267,273,498,169.92
  5. Step 5: Solve for x
    x = 267,273,498,169.92/567,574.24
  6. Step 6: Final answer
    x = 470,904.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.