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Finding the Fourth Proportional to 477,764.64, 715,071.84 and 264,204

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Solution

The fourth proportional to 477,764.64, 715,071.84 and 264,204 is: 395,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,764.64 : 715,071.84 = 264,204 : x
  2. Step 2: Convert to fraction form
    477,764.64/715,071.84 = 264,204/x
  3. Step 3: Cross multiply
    477,764.64x = 715,071.84 × 264,204
  4. Step 4: Simplify right side
    477,764.64x = 188,924,840,415.36
  5. Step 5: Solve for x
    x = 188,924,840,415.36/477,764.64
  6. Step 6: Final answer
    x = 395,434.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.