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Finding the Fourth Proportional to 589,384.22, 884,082.50 and 471,803

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Solution

The fourth proportional to 589,384.22, 884,082.50 and 471,803 is: 707,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,384.22 : 884,082.50 = 471,803 : x
  2. Step 2: Convert to fraction form
    589,384.22/884,082.50 = 471,803/x
  3. Step 3: Cross multiply
    589,384.22x = 884,082.50 × 471,803
  4. Step 4: Simplify right side
    589,384.22x = 417,112,775,747.50
  5. Step 5: Solve for x
    x = 417,112,775,747.50/589,384.22
  6. Step 6: Final answer
    x = 707,709.44

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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.