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Finding the Fourth Proportional to 571,509.82, 856,664.60 and 192,298.91

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Solution

The fourth proportional to 571,509.82, 856,664.60 and 192,298.91 is: 288,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,509.82 : 856,664.60 = 192,298.91 : x
  2. Step 2: Convert to fraction form
    571,509.82/856,664.60 = 192,298.91/x
  3. Step 3: Cross multiply
    571,509.82x = 856,664.60 × 192,298.91
  4. Step 4: Simplify right side
    571,509.82x = 164,735,663,570.77
  5. Step 5: Solve for x
    x = 164,735,663,570.77/571,509.82
  6. Step 6: Final answer
    x = 288,246.43

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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.