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Finding the Fourth Proportional to 338,114.35, 506,366.44 and 195,659.40

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Solution

The fourth proportional to 338,114.35, 506,366.44 and 195,659.40 is: 293,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,114.35 : 506,366.44 = 195,659.40 : x
  2. Step 2: Convert to fraction form
    338,114.35/506,366.44 = 195,659.40/x
  3. Step 3: Cross multiply
    338,114.35x = 506,366.44 × 195,659.40
  4. Step 4: Simplify right side
    338,114.35x = 99,075,352,391.95
  5. Step 5: Solve for x
    x = 99,075,352,391.95/338,114.35
  6. Step 6: Final answer
    x = 293,023.21

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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.