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Finding the Fourth Proportional to 309,561.88, 427,014.40 and 194,658.68

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Solution

The fourth proportional to 309,561.88, 427,014.40 and 194,658.68 is: 268,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,561.88 : 427,014.40 = 194,658.68 : x
  2. Step 2: Convert to fraction form
    309,561.88/427,014.40 = 194,658.68/x
  3. Step 3: Cross multiply
    309,561.88x = 427,014.40 × 194,658.68
  4. Step 4: Simplify right side
    309,561.88x = 83,122,059,444.99
  5. Step 5: Solve for x
    x = 83,122,059,444.99/309,561.88
  6. Step 6: Final answer
    x = 268,515.17

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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.