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Finding the Fourth Proportional to 462,333.86, 637,844.88 and 341,764.55

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Solution

The fourth proportional to 462,333.86, 637,844.88 and 341,764.55 is: 471,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,333.86 : 637,844.88 = 341,764.55 : x
  2. Step 2: Convert to fraction form
    462,333.86/637,844.88 = 341,764.55/x
  3. Step 3: Cross multiply
    462,333.86x = 637,844.88 × 341,764.55
  4. Step 4: Simplify right side
    462,333.86x = 217,992,768,383.00
  5. Step 5: Solve for x
    x = 217,992,768,383.00/462,333.86
  6. Step 6: Final answer
    x = 471,505.09

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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.