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Finding the Fourth Proportional to 306,040.30, 458,732.40 and 116,427.40

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Solution

The fourth proportional to 306,040.30, 458,732.40 and 116,427.40 is: 174,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,040.30 : 458,732.40 = 116,427.40 : x
  2. Step 2: Convert to fraction form
    306,040.30/458,732.40 = 116,427.40/x
  3. Step 3: Cross multiply
    306,040.30x = 458,732.40 × 116,427.40
  4. Step 4: Simplify right side
    306,040.30x = 53,409,020,627.76
  5. Step 5: Solve for x
    x = 53,409,020,627.76/306,040.30
  6. Step 6: Final answer
    x = 174,516.30

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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.