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Finding the Fourth Proportional to 433,225.28, 648,846.26 and 264,373.86

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Solution

The fourth proportional to 433,225.28, 648,846.26 and 264,373.86 is: 395,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,225.28 : 648,846.26 = 264,373.86 : x
  2. Step 2: Convert to fraction form
    433,225.28/648,846.26 = 264,373.86/x
  3. Step 3: Cross multiply
    433,225.28x = 648,846.26 × 264,373.86
  4. Step 4: Simplify right side
    433,225.28x = 171,537,990,302.76
  5. Step 5: Solve for x
    x = 171,537,990,302.76/433,225.28
  6. Step 6: Final answer
    x = 395,955.63

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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.