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Finding the Fourth Proportional to 280,715.60, 421,073.40 and 140,423.60

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Solution

The fourth proportional to 280,715.60, 421,073.40 and 140,423.60 is: 210,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,715.60 : 421,073.40 = 140,423.60 : x
  2. Step 2: Convert to fraction form
    280,715.60/421,073.40 = 140,423.60/x
  3. Step 3: Cross multiply
    280,715.60x = 421,073.40 × 140,423.60
  4. Step 4: Simplify right side
    280,715.60x = 59,128,642,692.24
  5. Step 5: Solve for x
    x = 59,128,642,692.24/280,715.60
  6. Step 6: Final answer
    x = 210,635.40

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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.