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Finding the Fourth Proportional to 571,055.82, 856,139.14 and 282,668.49

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Solution

The fourth proportional to 571,055.82, 856,139.14 and 282,668.49 is: 423,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,055.82 : 856,139.14 = 282,668.49 : x
  2. Step 2: Convert to fraction form
    571,055.82/856,139.14 = 282,668.49/x
  3. Step 3: Cross multiply
    571,055.82x = 856,139.14 × 282,668.49
  4. Step 4: Simplify right side
    571,055.82x = 242,003,561,489.93
  5. Step 5: Solve for x
    x = 242,003,561,489.93/571,055.82
  6. Step 6: Final answer
    x = 423,782.67

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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.