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Finding the Fourth Proportional to 358,231.75, 537,189.86 and 189,712.69

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Solution

The fourth proportional to 358,231.75, 537,189.86 and 189,712.69 is: 284,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,231.75 : 537,189.86 = 189,712.69 : x
  2. Step 2: Convert to fraction form
    358,231.75/537,189.86 = 189,712.69/x
  3. Step 3: Cross multiply
    358,231.75x = 537,189.86 × 189,712.69
  4. Step 4: Simplify right side
    358,231.75x = 101,911,735,534.32
  5. Step 5: Solve for x
    x = 101,911,735,534.32/358,231.75
  6. Step 6: Final answer
    x = 284,485.49

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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.