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Finding the Fourth Proportional to 286,933.60, 430,270.80 and 129,080.80

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Solution

The fourth proportional to 286,933.60, 430,270.80 and 129,080.80 is: 193,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,933.60 : 430,270.80 = 129,080.80 : x
  2. Step 2: Convert to fraction form
    286,933.60/430,270.80 = 129,080.80/x
  3. Step 3: Cross multiply
    286,933.60x = 430,270.80 × 129,080.80
  4. Step 4: Simplify right side
    286,933.60x = 55,539,699,080.64
  5. Step 5: Solve for x
    x = 55,539,699,080.64/286,933.60
  6. Step 6: Final answer
    x = 193,562.90

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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.