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Finding the Fourth Proportional to 433,884.92, 651,287.46 and 384,287

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Solution

The fourth proportional to 433,884.92, 651,287.46 and 384,287 is: 576,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,884.92 : 651,287.46 = 384,287 : x
  2. Step 2: Convert to fraction form
    433,884.92/651,287.46 = 384,287/x
  3. Step 3: Cross multiply
    433,884.92x = 651,287.46 × 384,287
  4. Step 4: Simplify right side
    433,884.92x = 250,281,304,141.02
  5. Step 5: Solve for x
    x = 250,281,304,141.02/433,884.92
  6. Step 6: Final answer
    x = 576,837.99

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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.