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Finding the Fourth Proportional to 413,550.40, 620,433.60 and 133,074.40

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Solution

The fourth proportional to 413,550.40, 620,433.60 and 133,074.40 is: 199,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,550.40 : 620,433.60 = 133,074.40 : x
  2. Step 2: Convert to fraction form
    413,550.40/620,433.60 = 133,074.40/x
  3. Step 3: Cross multiply
    413,550.40x = 620,433.60 × 133,074.40
  4. Step 4: Simplify right side
    413,550.40x = 82,563,829,059.84
  5. Step 5: Solve for x
    x = 82,563,829,059.84/413,550.40
  6. Step 6: Final answer
    x = 199,646.35

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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.