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Finding the Fourth Proportional to 505,310.40, 757,965.60 and 459,820.80

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Solution

The fourth proportional to 505,310.40, 757,965.60 and 459,820.80 is: 689,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,310.40 : 757,965.60 = 459,820.80 : x
  2. Step 2: Convert to fraction form
    505,310.40/757,965.60 = 459,820.80/x
  3. Step 3: Cross multiply
    505,310.40x = 757,965.60 × 459,820.80
  4. Step 4: Simplify right side
    505,310.40x = 348,528,348,564.48
  5. Step 5: Solve for x
    x = 348,528,348,564.48/505,310.40
  6. Step 6: Final answer
    x = 689,731.20

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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.