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Finding the Fourth Proportional to 466,405.37, 643,589.76 and 262,452.74

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Solution

The fourth proportional to 466,405.37, 643,589.76 and 262,452.74 is: 362,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,405.37 : 643,589.76 = 262,452.74 : x
  2. Step 2: Convert to fraction form
    466,405.37/643,589.76 = 262,452.74/x
  3. Step 3: Cross multiply
    466,405.37x = 643,589.76 × 262,452.74
  4. Step 4: Simplify right side
    466,405.37x = 168,911,892,729.99
  5. Step 5: Solve for x
    x = 168,911,892,729.99/466,405.37
  6. Step 6: Final answer
    x = 362,156.84

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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.