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Finding the Fourth Proportional to 270,675.01, 406,152.51 and 196,407.46

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Solution

The fourth proportional to 270,675.01, 406,152.51 and 196,407.46 is: 294,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,675.01 : 406,152.51 = 196,407.46 : x
  2. Step 2: Convert to fraction form
    270,675.01/406,152.51 = 196,407.46/x
  3. Step 3: Cross multiply
    270,675.01x = 406,152.51 × 196,407.46
  4. Step 4: Simplify right side
    270,675.01x = 79,771,382,861.72
  5. Step 5: Solve for x
    x = 79,771,382,861.72/270,675.01
  6. Step 6: Final answer
    x = 294,712.77

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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.