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Finding the Fourth Proportional to 470,403.47, 649,162.32 and 255,546.92

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Solution

The fourth proportional to 470,403.47, 649,162.32 and 255,546.92 is: 352,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,403.47 : 649,162.32 = 255,546.92 : x
  2. Step 2: Convert to fraction form
    470,403.47/649,162.32 = 255,546.92/x
  3. Step 3: Cross multiply
    470,403.47x = 649,162.32 × 255,546.92
  4. Step 4: Simplify right side
    470,403.47x = 165,891,432,120.66
  5. Step 5: Solve for x
    x = 165,891,432,120.66/470,403.47
  6. Step 6: Final answer
    x = 352,657.75

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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.