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Finding the Fourth Proportional to 298,949.84, 412,317.50 and 191,529.93

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Solution

The fourth proportional to 298,949.84, 412,317.50 and 191,529.93 is: 264,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,949.84 : 412,317.50 = 191,529.93 : x
  2. Step 2: Convert to fraction form
    298,949.84/412,317.50 = 191,529.93/x
  3. Step 3: Cross multiply
    298,949.84x = 412,317.50 × 191,529.93
  4. Step 4: Simplify right side
    298,949.84x = 78,971,140,955.13
  5. Step 5: Solve for x
    x = 78,971,140,955.13/298,949.84
  6. Step 6: Final answer
    x = 264,161.85

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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.