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Finding the Fourth Proportional to 492,811.68, 679,924.88 and 301,625.76

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Solution

The fourth proportional to 492,811.68, 679,924.88 and 301,625.76 is: 416,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,811.68 : 679,924.88 = 301,625.76 : x
  2. Step 2: Convert to fraction form
    492,811.68/679,924.88 = 301,625.76/x
  3. Step 3: Cross multiply
    492,811.68x = 679,924.88 × 301,625.76
  4. Step 4: Simplify right side
    492,811.68x = 205,082,858,672.91
  5. Step 5: Solve for x
    x = 205,082,858,672.91/492,811.68
  6. Step 6: Final answer
    x = 416,148.54

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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.