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Finding the Fourth Proportional to 286,359.42, 429,540.28 and 96,820.80

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Solution

The fourth proportional to 286,359.42, 429,540.28 and 96,820.80 is: 145,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,359.42 : 429,540.28 = 96,820.80 : x
  2. Step 2: Convert to fraction form
    286,359.42/429,540.28 = 96,820.80/x
  3. Step 3: Cross multiply
    286,359.42x = 429,540.28 × 96,820.80
  4. Step 4: Simplify right side
    286,359.42x = 41,588,433,541.82
  5. Step 5: Solve for x
    x = 41,588,433,541.82/286,359.42
  6. Step 6: Final answer
    x = 145,231.59

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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.