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Finding the Fourth Proportional to 522,668.84, 721,017.14 and 341,486.82

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Solution

The fourth proportional to 522,668.84, 721,017.14 and 341,486.82 is: 471,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,668.84 : 721,017.14 = 341,486.82 : x
  2. Step 2: Convert to fraction form
    522,668.84/721,017.14 = 341,486.82/x
  3. Step 3: Cross multiply
    522,668.84x = 721,017.14 × 341,486.82
  4. Step 4: Simplify right side
    522,668.84x = 246,217,848,596.66
  5. Step 5: Solve for x
    x = 246,217,848,596.66/522,668.84
  6. Step 6: Final answer
    x = 471,078.11

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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.