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Finding the Fourth Proportional to 470,529.94, 649,330.01 and 255,670.75

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Solution

The fourth proportional to 470,529.94, 649,330.01 and 255,670.75 is: 352,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,529.94 : 649,330.01 = 255,670.75 : x
  2. Step 2: Convert to fraction form
    470,529.94/649,330.01 = 255,670.75/x
  3. Step 3: Cross multiply
    470,529.94x = 649,330.01 × 255,670.75
  4. Step 4: Simplify right side
    470,529.94x = 166,014,689,375.85
  5. Step 5: Solve for x
    x = 166,014,689,375.85/470,529.94
  6. Step 6: Final answer
    x = 352,824.92

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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.