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Finding the Fourth Proportional to 522,695.30, 783,024.11 and 294,292.77

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Solution

The fourth proportional to 522,695.30, 783,024.11 and 294,292.77 is: 440,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,695.30 : 783,024.11 = 294,292.77 : x
  2. Step 2: Convert to fraction form
    522,695.30/783,024.11 = 294,292.77/x
  3. Step 3: Cross multiply
    522,695.30x = 783,024.11 × 294,292.77
  4. Step 4: Simplify right side
    522,695.30x = 230,438,332,659.88
  5. Step 5: Solve for x
    x = 230,438,332,659.88/522,695.30
  6. Step 6: Final answer
    x = 440,865.51

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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.