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Finding the Fourth Proportional to 286,594.24, 429,817.64 and 118,162.48

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Solution

The fourth proportional to 286,594.24, 429,817.64 and 118,162.48 is: 177,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594.24 : 429,817.64 = 118,162.48 : x
  2. Step 2: Convert to fraction form
    286,594.24/429,817.64 = 118,162.48/x
  3. Step 3: Cross multiply
    286,594.24x = 429,817.64 × 118,162.48
  4. Step 4: Simplify right side
    286,594.24x = 50,788,318,290.15
  5. Step 5: Solve for x
    x = 50,788,318,290.15/286,594.24
  6. Step 6: Final answer
    x = 177,213.33

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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.