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Finding the Fourth Proportional to 470,741.94, 649,626.18 and 255,882

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Solution

The fourth proportional to 470,741.94, 649,626.18 and 255,882 is: 353,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,741.94 : 649,626.18 = 255,882 : x
  2. Step 2: Convert to fraction form
    470,741.94/649,626.18 = 255,882/x
  3. Step 3: Cross multiply
    470,741.94x = 649,626.18 × 255,882
  4. Step 4: Simplify right side
    470,741.94x = 166,227,646,190.76
  5. Step 5: Solve for x
    x = 166,227,646,190.76/470,741.94
  6. Step 6: Final answer
    x = 353,118.41

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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.