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Finding the Fourth Proportional to 280,412.80, 420,465.60 and 114,012.80

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Solution

The fourth proportional to 280,412.80, 420,465.60 and 114,012.80 is: 170,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,412.80 : 420,465.60 = 114,012.80 : x
  2. Step 2: Convert to fraction form
    280,412.80/420,465.60 = 114,012.80/x
  3. Step 3: Cross multiply
    280,412.80x = 420,465.60 × 114,012.80
  4. Step 4: Simplify right side
    280,412.80x = 47,938,460,359.68
  5. Step 5: Solve for x
    x = 47,938,460,359.68/280,412.80
  6. Step 6: Final answer
    x = 170,956.75

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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.