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Finding the Fourth Proportional to 407,986.50, 612,001.62 and 127,525.62

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Solution

The fourth proportional to 407,986.50, 612,001.62 and 127,525.62 is: 191,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,986.50 : 612,001.62 = 127,525.62 : x
  2. Step 2: Convert to fraction form
    407,986.50/612,001.62 = 127,525.62/x
  3. Step 3: Cross multiply
    407,986.50x = 612,001.62 × 127,525.62
  4. Step 4: Simplify right side
    407,986.50x = 78,045,886,031.50
  5. Step 5: Solve for x
    x = 78,045,886,031.50/407,986.50
  6. Step 6: Final answer
    x = 191,295.27

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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.