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Finding the Fourth Proportional to 470,618.58, 649,452.86 and 255,758.16

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Solution

The fourth proportional to 470,618.58, 649,452.86 and 255,758.16 is: 352,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,618.58 : 649,452.86 = 255,758.16 : x
  2. Step 2: Convert to fraction form
    470,618.58/649,452.86 = 255,758.16/x
  3. Step 3: Cross multiply
    470,618.58x = 649,452.86 × 255,758.16
  4. Step 4: Simplify right side
    470,618.58x = 166,102,868,480.34
  5. Step 5: Solve for x
    x = 166,102,868,480.34/470,618.58
  6. Step 6: Final answer
    x = 352,945.84

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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.