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Finding the Fourth Proportional to 357,351.59, 493,146.16 and 196,217.08

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Solution

The fourth proportional to 357,351.59, 493,146.16 and 196,217.08 is: 270,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,351.59 : 493,146.16 = 196,217.08 : x
  2. Step 2: Convert to fraction form
    357,351.59/493,146.16 = 196,217.08/x
  3. Step 3: Cross multiply
    357,351.59x = 493,146.16 × 196,217.08
  4. Step 4: Simplify right side
    357,351.59x = 96,763,697,805.00
  5. Step 5: Solve for x
    x = 96,763,697,805.00/357,351.59
  6. Step 6: Final answer
    x = 270,780.09

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1.5x scale

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.