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Finding the Fourth Proportional to 280,302.40, 420,453.60 and 162,204.40

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Solution

The fourth proportional to 280,302.40, 420,453.60 and 162,204.40 is: 243,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,302.40 : 420,453.60 = 162,204.40 : x
  2. Step 2: Convert to fraction form
    280,302.40/420,453.60 = 162,204.40/x
  3. Step 3: Cross multiply
    280,302.40x = 420,453.60 × 162,204.40
  4. Step 4: Simplify right side
    280,302.40x = 68,199,423,915.84
  5. Step 5: Solve for x
    x = 68,199,423,915.84/280,302.40
  6. Step 6: Final answer
    x = 243,306.60

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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.