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Finding the Fourth Proportional to 571,097.77, 856,648.68 and 144,633.48

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Solution

The fourth proportional to 571,097.77, 856,648.68 and 144,633.48 is: 216,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,097.77 : 856,648.68 = 144,633.48 : x
  2. Step 2: Convert to fraction form
    571,097.77/856,648.68 = 144,633.48/x
  3. Step 3: Cross multiply
    571,097.77x = 856,648.68 × 144,633.48
  4. Step 4: Simplify right side
    571,097.77x = 123,900,079,725.81
  5. Step 5: Solve for x
    x = 123,900,079,725.81/571,097.77
  6. Step 6: Final answer
    x = 216,950.73

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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.