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Finding the Fourth Proportional to 280,014.40, 420,021.60 and 180,287.20

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Solution

The fourth proportional to 280,014.40, 420,021.60 and 180,287.20 is: 270,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,014.40 : 420,021.60 = 180,287.20 : x
  2. Step 2: Convert to fraction form
    280,014.40/420,021.60 = 180,287.20/x
  3. Step 3: Cross multiply
    280,014.40x = 420,021.60 × 180,287.20
  4. Step 4: Simplify right side
    280,014.40x = 75,724,518,203.52
  5. Step 5: Solve for x
    x = 75,724,518,203.52/280,014.40
  6. Step 6: Final answer
    x = 270,430.80

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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.