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Finding the Fourth Proportional to 433,274.79, 649,752.96 and 148,884.69

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Solution

The fourth proportional to 433,274.79, 649,752.96 and 148,884.69 is: 223,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,274.79 : 649,752.96 = 148,884.69 : x
  2. Step 2: Convert to fraction form
    433,274.79/649,752.96 = 148,884.69/x
  3. Step 3: Cross multiply
    433,274.79x = 649,752.96 × 148,884.69
  4. Step 4: Simplify right side
    433,274.79x = 96,738,268,026.18
  5. Step 5: Solve for x
    x = 96,738,268,026.18/433,274.79
  6. Step 6: Final answer
    x = 223,272.32

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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.