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Finding the Fourth Proportional to 270,164.16, 405,362.88 and 145,480.32

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Solution

The fourth proportional to 270,164.16, 405,362.88 and 145,480.32 is: 218,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,164.16 : 405,362.88 = 145,480.32 : x
  2. Step 2: Convert to fraction form
    270,164.16/405,362.88 = 145,480.32/x
  3. Step 3: Cross multiply
    270,164.16x = 405,362.88 × 145,480.32
  4. Step 4: Simplify right side
    270,164.16x = 58,972,321,498.52
  5. Step 5: Solve for x
    x = 58,972,321,498.52/270,164.16
  6. Step 6: Final answer
    x = 218,283.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.