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Finding the Fourth Proportional to 408,051.45, 612,077.18 and 408,051.45

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Solution

The fourth proportional to 408,051.45, 612,077.18 and 408,051.45 is: 612,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.45 : 612,077.18 = 408,051.45 : x
  2. Step 2: Convert to fraction form
    408,051.45/612,077.18 = 408,051.45/x
  3. Step 3: Cross multiply
    408,051.45x = 612,077.18 × 408,051.45
  4. Step 4: Simplify right side
    408,051.45x = 249,758,978,770.65
  5. Step 5: Solve for x
    x = 249,758,978,770.65/408,051.45
  6. Step 6: Final answer
    x = 612,077.18

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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.