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Finding the Fourth Proportional to 270,280.40, 405,284.60 and 83,267.60

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Solution

The fourth proportional to 270,280.40, 405,284.60 and 83,267.60 is: 124,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,280.40 : 405,284.60 = 83,267.60 : x
  2. Step 2: Convert to fraction form
    270,280.40/405,284.60 = 83,267.60/x
  3. Step 3: Cross multiply
    270,280.40x = 405,284.60 × 83,267.60
  4. Step 4: Simplify right side
    270,280.40x = 33,747,075,958.96
  5. Step 5: Solve for x
    x = 33,747,075,958.96/270,280.40
  6. Step 6: Final answer
    x = 124,859.50

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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.