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Finding the Fourth Proportional to 295,606.32, 407,815.98 and 218,267.32

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Solution

The fourth proportional to 295,606.32, 407,815.98 and 218,267.32 is: 301,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,606.32 : 407,815.98 = 218,267.32 : x
  2. Step 2: Convert to fraction form
    295,606.32/407,815.98 = 218,267.32/x
  3. Step 3: Cross multiply
    295,606.32x = 407,815.98 × 218,267.32
  4. Step 4: Simplify right side
    295,606.32x = 89,012,901,007.77
  5. Step 5: Solve for x
    x = 89,012,901,007.77/295,606.32
  6. Step 6: Final answer
    x = 301,119.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.