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Finding the Fourth Proportional to 413,465.20, 620,370.60 and 133,068.40

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Solution

The fourth proportional to 413,465.20, 620,370.60 and 133,068.40 is: 199,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,465.20 : 620,370.60 = 133,068.40 : x
  2. Step 2: Convert to fraction form
    413,465.20/620,370.60 = 133,068.40/x
  3. Step 3: Cross multiply
    413,465.20x = 620,370.60 × 133,068.40
  4. Step 4: Simplify right side
    413,465.20x = 82,551,723,149.04
  5. Step 5: Solve for x
    x = 82,551,723,149.04/413,465.20
  6. Step 6: Final answer
    x = 199,658.21

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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.