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Finding the Fourth Proportional to 297,056.95, 409,830.88 and 195,137.29

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Solution

The fourth proportional to 297,056.95, 409,830.88 and 195,137.29 is: 269,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,056.95 : 409,830.88 = 195,137.29 : x
  2. Step 2: Convert to fraction form
    297,056.95/409,830.88 = 195,137.29/x
  3. Step 3: Cross multiply
    297,056.95x = 409,830.88 × 195,137.29
  4. Step 4: Simplify right side
    297,056.95x = 79,973,287,281.52
  5. Step 5: Solve for x
    x = 79,973,287,281.52/297,056.95
  6. Step 6: Final answer
    x = 269,218.70

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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.