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Finding the Fourth Proportional to 512,077.60, 768,116.40 and 456,090.40

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Solution

The fourth proportional to 512,077.60, 768,116.40 and 456,090.40 is: 684,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,077.60 : 768,116.40 = 456,090.40 : x
  2. Step 2: Convert to fraction form
    512,077.60/768,116.40 = 456,090.40/x
  3. Step 3: Cross multiply
    512,077.60x = 768,116.40 × 456,090.40
  4. Step 4: Simplify right side
    512,077.60x = 350,330,516,122.56
  5. Step 5: Solve for x
    x = 350,330,516,122.56/512,077.60
  6. Step 6: Final answer
    x = 684,135.60

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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.