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Finding the Fourth Proportional to 466,410.49, 643,596.84 and 262,457.86

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Solution

The fourth proportional to 466,410.49, 643,596.84 and 262,457.86 is: 362,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,410.49 : 643,596.84 = 262,457.86 : x
  2. Step 2: Convert to fraction form
    466,410.49/643,596.84 = 262,457.86/x
  3. Step 3: Cross multiply
    466,410.49x = 643,596.84 × 262,457.86
  4. Step 4: Simplify right side
    466,410.49x = 168,917,049,329.16
  5. Step 5: Solve for x
    x = 168,917,049,329.16/466,410.49
  6. Step 6: Final answer
    x = 362,163.92

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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.