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Finding the Fourth Proportional to 511,255.60, 766,883.40 and 456,143.20

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Solution

The fourth proportional to 511,255.60, 766,883.40 and 456,143.20 is: 684,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,255.60 : 766,883.40 = 456,143.20 : x
  2. Step 2: Convert to fraction form
    511,255.60/766,883.40 = 456,143.20/x
  3. Step 3: Cross multiply
    511,255.60x = 766,883.40 × 456,143.20
  4. Step 4: Simplify right side
    511,255.60x = 349,808,648,102.88
  5. Step 5: Solve for x
    x = 349,808,648,102.88/511,255.60
  6. Step 6: Final answer
    x = 684,214.80

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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.