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Finding the Fourth Proportional to 270,683.20, 406,024.80 and 83,713.60

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Solution

The fourth proportional to 270,683.20, 406,024.80 and 83,713.60 is: 125,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,683.20 : 406,024.80 = 83,713.60 : x
  2. Step 2: Convert to fraction form
    270,683.20/406,024.80 = 83,713.60/x
  3. Step 3: Cross multiply
    270,683.20x = 406,024.80 × 83,713.60
  4. Step 4: Simplify right side
    270,683.20x = 33,989,797,697.28
  5. Step 5: Solve for x
    x = 33,989,797,697.28/270,683.20
  6. Step 6: Final answer
    x = 125,570.40

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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.