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Finding the Fourth Proportional to 286,497.56, 429,479.23 and 96,825.30

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Solution

The fourth proportional to 286,497.56, 429,479.23 and 96,825.30 is: 145,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,497.56 : 429,479.23 = 96,825.30 : x
  2. Step 2: Convert to fraction form
    286,497.56/429,479.23 = 96,825.30/x
  3. Step 3: Cross multiply
    286,497.56x = 429,479.23 × 96,825.30
  4. Step 4: Simplify right side
    286,497.56x = 41,584,455,288.52
  5. Step 5: Solve for x
    x = 41,584,455,288.52/286,497.56
  6. Step 6: Final answer
    x = 145,147.68

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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.