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Finding the Fourth Proportional to 413,461.20, 620,364.60 and 133,064.40

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Solution

The fourth proportional to 413,461.20, 620,364.60 and 133,064.40 is: 199,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,461.20 : 620,364.60 = 133,064.40 : x
  2. Step 2: Convert to fraction form
    413,461.20/620,364.60 = 133,064.40/x
  3. Step 3: Cross multiply
    413,461.20x = 620,364.60 × 133,064.40
  4. Step 4: Simplify right side
    413,461.20x = 82,548,443,280.24
  5. Step 5: Solve for x
    x = 82,548,443,280.24/413,461.20
  6. Step 6: Final answer
    x = 199,652.21

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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.