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Finding the Fourth Proportional to 470,557.34, 649,372.71 and 255,698.56

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Solution

The fourth proportional to 470,557.34, 649,372.71 and 255,698.56 is: 352,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,557.34 : 649,372.71 = 255,698.56 : x
  2. Step 2: Convert to fraction form
    470,557.34/649,372.71 = 255,698.56/x
  3. Step 3: Cross multiply
    470,557.34x = 649,372.71 × 255,698.56
  4. Step 4: Simplify right side
    470,557.34x = 166,043,666,850.30
  5. Step 5: Solve for x
    x = 166,043,666,850.30/470,557.34
  6. Step 6: Final answer
    x = 352,865.96

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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.