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Finding the Fourth Proportional to 270,646.40, 405,969.60 and 130,419.20

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Solution

The fourth proportional to 270,646.40, 405,969.60 and 130,419.20 is: 195,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,646.40 : 405,969.60 = 130,419.20 : x
  2. Step 2: Convert to fraction form
    270,646.40/405,969.60 = 130,419.20/x
  3. Step 3: Cross multiply
    270,646.40x = 405,969.60 × 130,419.20
  4. Step 4: Simplify right side
    270,646.40x = 52,946,230,456.32
  5. Step 5: Solve for x
    x = 52,946,230,456.32/270,646.40
  6. Step 6: Final answer
    x = 195,628.80

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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.