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Finding the Fourth Proportional to 520,091.20, 780,136.80 and 146,114.20

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Solution

The fourth proportional to 520,091.20, 780,136.80 and 146,114.20 is: 219,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,091.20 : 780,136.80 = 146,114.20 : x
  2. Step 2: Convert to fraction form
    520,091.20/780,136.80 = 146,114.20/x
  3. Step 3: Cross multiply
    520,091.20x = 780,136.80 × 146,114.20
  4. Step 4: Simplify right side
    520,091.20x = 113,989,064,422.56
  5. Step 5: Solve for x
    x = 113,989,064,422.56/520,091.20
  6. Step 6: Final answer
    x = 219,171.30

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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.