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Finding the Fourth Proportional to 442,993.86, 610,044.97 and 384,823.91

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Solution

The fourth proportional to 442,993.86, 610,044.97 and 384,823.91 is: 529,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,993.86 : 610,044.97 = 384,823.91 : x
  2. Step 2: Convert to fraction form
    442,993.86/610,044.97 = 384,823.91/x
  3. Step 3: Cross multiply
    442,993.86x = 610,044.97 × 384,823.91
  4. Step 4: Simplify right side
    442,993.86x = 234,759,891,915.83
  5. Step 5: Solve for x
    x = 234,759,891,915.83/442,993.86
  6. Step 6: Final answer
    x = 529,939.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.