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Finding the Fourth Proportional to 470,764.64, 649,685.40 and 264,052.44

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Solution

The fourth proportional to 470,764.64, 649,685.40 and 264,052.44 is: 364,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,764.64 : 649,685.40 = 264,052.44 : x
  2. Step 2: Convert to fraction form
    470,764.64/649,685.40 = 264,052.44/x
  3. Step 3: Cross multiply
    470,764.64x = 649,685.40 × 264,052.44
  4. Step 4: Simplify right side
    470,764.64x = 171,551,015,102.38
  5. Step 5: Solve for x
    x = 171,551,015,102.38/470,764.64
  6. Step 6: Final answer
    x = 364,409.30

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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.