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Finding the Fourth Proportional to 414,030.60, 620,827.20 and 177,105.60

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Solution

The fourth proportional to 414,030.60, 620,827.20 and 177,105.60 is: 265,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,030.60 : 620,827.20 = 177,105.60 : x
  2. Step 2: Convert to fraction form
    414,030.60/620,827.20 = 177,105.60/x
  3. Step 3: Cross multiply
    414,030.60x = 620,827.20 × 177,105.60
  4. Step 4: Simplify right side
    414,030.60x = 109,951,973,752.32
  5. Step 5: Solve for x
    x = 109,951,973,752.32/414,030.60
  6. Step 6: Final answer
    x = 265,564.85

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1.5x scale

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.