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Finding the Fourth Proportional to 470,054.26, 648,674.88 and 255,194.32

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Solution

The fourth proportional to 470,054.26, 648,674.88 and 255,194.32 is: 352,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,054.26 : 648,674.88 = 255,194.32 : x
  2. Step 2: Convert to fraction form
    470,054.26/648,674.88 = 255,194.32/x
  3. Step 3: Cross multiply
    470,054.26x = 648,674.88 × 255,194.32
  4. Step 4: Simplify right side
    470,054.26x = 165,538,144,902.68
  5. Step 5: Solve for x
    x = 165,538,144,902.68/470,054.26
  6. Step 6: Final answer
    x = 352,168.16

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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.