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Finding the Fourth Proportional to 470,096.34, 648,736.34 and 255,236.55

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Solution

The fourth proportional to 470,096.34, 648,736.34 and 255,236.55 is: 352,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,096.34 : 648,736.34 = 255,236.55 : x
  2. Step 2: Convert to fraction form
    470,096.34/648,736.34 = 255,236.55/x
  3. Step 3: Cross multiply
    470,096.34x = 648,736.34 × 255,236.55
  4. Step 4: Simplify right side
    470,096.34x = 165,581,224,005.04
  5. Step 5: Solve for x
    x = 165,581,224,005.04/470,096.34
  6. Step 6: Final answer
    x = 352,228.28

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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.