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Finding the Fourth Proportional to 301,510.68, 451,674.90 and 174,884.91

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Solution

The fourth proportional to 301,510.68, 451,674.90 and 174,884.91 is: 261,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,510.68 : 451,674.90 = 174,884.91 : x
  2. Step 2: Convert to fraction form
    301,510.68/451,674.90 = 174,884.91/x
  3. Step 3: Cross multiply
    301,510.68x = 451,674.90 × 174,884.91
  4. Step 4: Simplify right side
    301,510.68x = 78,991,124,235.76
  5. Step 5: Solve for x
    x = 78,991,124,235.76/301,510.68
  6. Step 6: Final answer
    x = 261,984.50

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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.