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Finding the Fourth Proportional to 433,891.92, 651,297.96 and 384,294

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Solution

The fourth proportional to 433,891.92, 651,297.96 and 384,294 is: 576,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,891.92 : 651,297.96 = 384,294 : x
  2. Step 2: Convert to fraction form
    433,891.92/651,297.96 = 384,294/x
  3. Step 3: Cross multiply
    433,891.92x = 651,297.96 × 384,294
  4. Step 4: Simplify right side
    433,891.92x = 250,289,898,240.24
  5. Step 5: Solve for x
    x = 250,289,898,240.24/433,891.92
  6. Step 6: Final answer
    x = 576,848.49

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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.