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Finding the Fourth Proportional to 471,881.34, 651,338.55 and 321,065.82

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Solution

The fourth proportional to 471,881.34, 651,338.55 and 321,065.82 is: 443,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,881.34 : 651,338.55 = 321,065.82 : x
  2. Step 2: Convert to fraction form
    471,881.34/651,338.55 = 321,065.82/x
  3. Step 3: Cross multiply
    471,881.34x = 651,338.55 × 321,065.82
  4. Step 4: Simplify right side
    471,881.34x = 209,122,545,653.36
  5. Step 5: Solve for x
    x = 209,122,545,653.36/471,881.34
  6. Step 6: Final answer
    x = 443,167.65

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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.