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Finding the Fourth Proportional to 470,894.58, 649,847.64 and 256,049.40

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Solution

The fourth proportional to 470,894.58, 649,847.64 and 256,049.40 is: 353,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894.58 : 649,847.64 = 256,049.40 : x
  2. Step 2: Convert to fraction form
    470,894.58/649,847.64 = 256,049.40/x
  3. Step 3: Cross multiply
    470,894.58x = 649,847.64 × 256,049.40
  4. Step 4: Simplify right side
    470,894.58x = 166,393,098,313.42
  5. Step 5: Solve for x
    x = 166,393,098,313.42/470,894.58
  6. Step 6: Final answer
    x = 353,355.31

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1.5x scale

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.