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Finding the Fourth Proportional to 470,856.14, 649,800.34 and 255,995.54

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Solution

The fourth proportional to 470,856.14, 649,800.34 and 255,995.54 is: 353,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,856.14 : 649,800.34 = 255,995.54 : x
  2. Step 2: Convert to fraction form
    470,856.14/649,800.34 = 255,995.54/x
  3. Step 3: Cross multiply
    470,856.14x = 649,800.34 × 255,995.54
  4. Step 4: Simplify right side
    470,856.14x = 166,345,988,930.48
  5. Step 5: Solve for x
    x = 166,345,988,930.48/470,856.14
  6. Step 6: Final answer
    x = 353,284.10

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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.