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Finding the Fourth Proportional to 340,938.80, 511,408.20 and 193,482.80

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Solution

The fourth proportional to 340,938.80, 511,408.20 and 193,482.80 is: 290,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,938.80 : 511,408.20 = 193,482.80 : x
  2. Step 2: Convert to fraction form
    340,938.80/511,408.20 = 193,482.80/x
  3. Step 3: Cross multiply
    340,938.80x = 511,408.20 × 193,482.80
  4. Step 4: Simplify right side
    340,938.80x = 98,948,690,478.96
  5. Step 5: Solve for x
    x = 98,948,690,478.96/340,938.80
  6. Step 6: Final answer
    x = 290,224.20

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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.