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Finding the Fourth Proportional to 540,703.84, 746,163.50 and 298,981.10

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Solution

The fourth proportional to 540,703.84, 746,163.50 and 298,981.10 is: 412,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,703.84 : 746,163.50 = 298,981.10 : x
  2. Step 2: Convert to fraction form
    540,703.84/746,163.50 = 298,981.10/x
  3. Step 3: Cross multiply
    540,703.84x = 746,163.50 × 298,981.10
  4. Step 4: Simplify right side
    540,703.84x = 223,088,784,009.85
  5. Step 5: Solve for x
    x = 223,088,784,009.85/540,703.84
  6. Step 6: Final answer
    x = 412,589.61

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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.