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Finding the Fourth Proportional to 310,077.60, 465,116.40 and 305,930.40

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Solution

The fourth proportional to 310,077.60, 465,116.40 and 305,930.40 is: 458,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,077.60 : 465,116.40 = 305,930.40 : x
  2. Step 2: Convert to fraction form
    310,077.60/465,116.40 = 305,930.40/x
  3. Step 3: Cross multiply
    310,077.60x = 465,116.40 × 305,930.40
  4. Step 4: Simplify right side
    310,077.60x = 142,293,246,298.56
  5. Step 5: Solve for x
    x = 142,293,246,298.56/310,077.60
  6. Step 6: Final answer
    x = 458,895.60

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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.