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Finding the Fourth Proportional to 477,808.64, 659,376 and 262,964

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Solution

The fourth proportional to 477,808.64, 659,376 and 262,964 is: 362,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,808.64 : 659,376 = 262,964 : x
  2. Step 2: Convert to fraction form
    477,808.64/659,376 = 262,964/x
  3. Step 3: Cross multiply
    477,808.64x = 659,376 × 262,964
  4. Step 4: Simplify right side
    477,808.64x = 173,392,150,464
  5. Step 5: Solve for x
    x = 173,392,150,464/477,808.64
  6. Step 6: Final answer
    x = 362,890.36

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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.