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Finding the Fourth Proportional to 482,735.80, 724,100.10 and 145,775.80

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Solution

The fourth proportional to 482,735.80, 724,100.10 and 145,775.80 is: 218,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,735.80 : 724,100.10 = 145,775.80 : x
  2. Step 2: Convert to fraction form
    482,735.80/724,100.10 = 145,775.80/x
  3. Step 3: Cross multiply
    482,735.80x = 724,100.10 × 145,775.80
  4. Step 4: Simplify right side
    482,735.80x = 105,556,271,357.58
  5. Step 5: Solve for x
    x = 105,556,271,357.58/482,735.80
  6. Step 6: Final answer
    x = 218,662.61

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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.