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Finding the Fourth Proportional to 470,673.45, 649,529.42 and 255,813.53

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Solution

The fourth proportional to 470,673.45, 649,529.42 and 255,813.53 is: 353,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,673.45 : 649,529.42 = 255,813.53 : x
  2. Step 2: Convert to fraction form
    470,673.45/649,529.42 = 255,813.53/x
  3. Step 3: Cross multiply
    470,673.45x = 649,529.42 × 255,813.53
  4. Step 4: Simplify right side
    470,673.45x = 166,158,409,242.34
  5. Step 5: Solve for x
    x = 166,158,409,242.34/470,673.45
  6. Step 6: Final answer
    x = 353,022.69

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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.