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Finding the Fourth Proportional to 284,565.20, 426,847.80 and 142,847.60

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Solution

The fourth proportional to 284,565.20, 426,847.80 and 142,847.60 is: 214,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,565.20 : 426,847.80 = 142,847.60 : x
  2. Step 2: Convert to fraction form
    284,565.20/426,847.80 = 142,847.60/x
  3. Step 3: Cross multiply
    284,565.20x = 426,847.80 × 142,847.60
  4. Step 4: Simplify right side
    284,565.20x = 60,974,183,795.28
  5. Step 5: Solve for x
    x = 60,974,183,795.28/284,565.20
  6. Step 6: Final answer
    x = 214,271.40

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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.