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Finding the Fourth Proportional to 306,056.30, 458,756.40 and 116,443.40

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Solution

The fourth proportional to 306,056.30, 458,756.40 and 116,443.40 is: 174,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,056.30 : 458,756.40 = 116,443.40 : x
  2. Step 2: Convert to fraction form
    306,056.30/458,756.40 = 116,443.40/x
  3. Step 3: Cross multiply
    306,056.30x = 458,756.40 × 116,443.40
  4. Step 4: Simplify right side
    306,056.30x = 53,419,154,987.76
  5. Step 5: Solve for x
    x = 53,419,154,987.76/306,056.30
  6. Step 6: Final answer
    x = 174,540.29

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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.