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Finding the Fourth Proportional to 471,898.34, 651,362.02 and 321,082.82

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Solution

The fourth proportional to 471,898.34, 651,362.02 and 321,082.82 is: 443,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,898.34 : 651,362.02 = 321,082.82 : x
  2. Step 2: Convert to fraction form
    471,898.34/651,362.02 = 321,082.82/x
  3. Step 3: Cross multiply
    471,898.34x = 651,362.02 × 321,082.82
  4. Step 4: Simplify right side
    471,898.34x = 209,141,154,222.50
  5. Step 5: Solve for x
    x = 209,141,154,222.50/471,898.34
  6. Step 6: Final answer
    x = 443,191.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.