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Finding the Fourth Proportional to 284,014.80, 425,860.20 and 106,527.60

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Solution

The fourth proportional to 284,014.80, 425,860.20 and 106,527.60 is: 159,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,014.80 : 425,860.20 = 106,527.60 : x
  2. Step 2: Convert to fraction form
    284,014.80/425,860.20 = 106,527.60/x
  3. Step 3: Cross multiply
    284,014.80x = 425,860.20 × 106,527.60
  4. Step 4: Simplify right side
    284,014.80x = 45,365,865,041.52
  5. Step 5: Solve for x
    x = 45,365,865,041.52/284,014.80
  6. Step 6: Final answer
    x = 159,730.64

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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.