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Finding the Fourth Proportional to 426,208.80, 588,244.32 and 254,137.84

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Solution

The fourth proportional to 426,208.80, 588,244.32 and 254,137.84 is: 350,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,208.80 : 588,244.32 = 254,137.84 : x
  2. Step 2: Convert to fraction form
    426,208.80/588,244.32 = 254,137.84/x
  3. Step 3: Cross multiply
    426,208.80x = 588,244.32 × 254,137.84
  4. Step 4: Simplify right side
    426,208.80x = 149,495,140,877.07
  5. Step 5: Solve for x
    x = 149,495,140,877.07/426,208.80
  6. Step 6: Final answer
    x = 350,755.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.