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Finding the Fourth Proportional to 571,082.64, 856,021.17 and 191,643.61

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Solution

The fourth proportional to 571,082.64, 856,021.17 and 191,643.61 is: 287,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,082.64 : 856,021.17 = 191,643.61 : x
  2. Step 2: Convert to fraction form
    571,082.64/856,021.17 = 191,643.61/x
  3. Step 3: Cross multiply
    571,082.64x = 856,021.17 × 191,643.61
  4. Step 4: Simplify right side
    571,082.64x = 164,050,987,255.22
  5. Step 5: Solve for x
    x = 164,050,987,255.22/571,082.64
  6. Step 6: Final answer
    x = 287,263.13

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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.