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Finding the Fourth Proportional to 289,312.88, 399,255.89 and 166,802.83

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Solution

The fourth proportional to 289,312.88, 399,255.89 and 166,802.83 is: 230,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,312.88 : 399,255.89 = 166,802.83 : x
  2. Step 2: Convert to fraction form
    289,312.88/399,255.89 = 166,802.83/x
  3. Step 3: Cross multiply
    289,312.88x = 399,255.89 × 166,802.83
  4. Step 4: Simplify right side
    289,312.88x = 66,597,010,514.01
  5. Step 5: Solve for x
    x = 66,597,010,514.01/289,312.88
  6. Step 6: Final answer
    x = 230,190.28

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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.