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Finding the Fourth Proportional to 415,733.40, 623,600.10 and 411,796.80

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Solution

The fourth proportional to 415,733.40, 623,600.10 and 411,796.80 is: 617,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,733.40 : 623,600.10 = 411,796.80 : x
  2. Step 2: Convert to fraction form
    415,733.40/623,600.10 = 411,796.80/x
  3. Step 3: Cross multiply
    415,733.40x = 623,600.10 × 411,796.80
  4. Step 4: Simplify right side
    415,733.40x = 256,796,525,659.68
  5. Step 5: Solve for x
    x = 256,796,525,659.68/415,733.40
  6. Step 6: Final answer
    x = 617,695.20

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Similar ratio
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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.