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Finding the Fourth Proportional to 301,084.77, 451,627.35 and 76,462.05

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Solution

The fourth proportional to 301,084.77, 451,627.35 and 76,462.05 is: 114,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,084.77 : 451,627.35 = 76,462.05 : x
  2. Step 2: Convert to fraction form
    301,084.77/451,627.35 = 76,462.05/x
  3. Step 3: Cross multiply
    301,084.77x = 451,627.35 × 76,462.05
  4. Step 4: Simplify right side
    301,084.77x = 34,532,353,017.07
  5. Step 5: Solve for x
    x = 34,532,353,017.07/301,084.77
  6. Step 6: Final answer
    x = 114,693.12

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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.