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Finding the Fourth Proportional to 284,492.40, 426,738.60 and 144,524.40

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Solution

The fourth proportional to 284,492.40, 426,738.60 and 144,524.40 is: 216,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,492.40 : 426,738.60 = 144,524.40 : x
  2. Step 2: Convert to fraction form
    284,492.40/426,738.60 = 144,524.40/x
  3. Step 3: Cross multiply
    284,492.40x = 426,738.60 × 144,524.40
  4. Step 4: Simplify right side
    284,492.40x = 61,674,140,121.84
  5. Step 5: Solve for x
    x = 61,674,140,121.84/284,492.40
  6. Step 6: Final answer
    x = 216,786.60

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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.