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Finding the Fourth Proportional to 280,257.40, 420,386.10 and 168,064.30

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Solution

The fourth proportional to 280,257.40, 420,386.10 and 168,064.30 is: 252,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,257.40 : 420,386.10 = 168,064.30 : x
  2. Step 2: Convert to fraction form
    280,257.40/420,386.10 = 168,064.30/x
  3. Step 3: Cross multiply
    280,257.40x = 420,386.10 × 168,064.30
  4. Step 4: Simplify right side
    280,257.40x = 70,651,895,626.23
  5. Step 5: Solve for x
    x = 70,651,895,626.23/280,257.40
  6. Step 6: Final answer
    x = 252,096.45

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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.