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Finding the Fourth Proportional to 433,080.16, 649,453.80 and 148,717.84

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Solution

The fourth proportional to 433,080.16, 649,453.80 and 148,717.84 is: 223,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,080.16 : 649,453.80 = 148,717.84 : x
  2. Step 2: Convert to fraction form
    433,080.16/649,453.80 = 148,717.84/x
  3. Step 3: Cross multiply
    433,080.16x = 649,453.80 × 148,717.84
  4. Step 4: Simplify right side
    433,080.16x = 96,585,366,315.79
  5. Step 5: Solve for x
    x = 96,585,366,315.79/433,080.16
  6. Step 6: Final answer
    x = 223,019.61

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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.