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Finding the Fourth Proportional to 589,633, 884,587.74 and 195,649

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Solution

The fourth proportional to 589,633, 884,587.74 and 195,649 is: 293,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,633 : 884,587.74 = 195,649 : x
  2. Step 2: Convert to fraction form
    589,633/884,587.74 = 195,649/x
  3. Step 3: Cross multiply
    589,633x = 884,587.74 × 195,649
  4. Step 4: Simplify right side
    589,633x = 173,068,706,743.26
  5. Step 5: Solve for x
    x = 173,068,706,743.26/589,633
  6. Step 6: Final answer
    x = 293,519.37

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1.5x scale

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.