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Finding the Fourth Proportional to 340,635.46, 470,054.35 and 204,675.13

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Solution

The fourth proportional to 340,635.46, 470,054.35 and 204,675.13 is: 282,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,635.46 : 470,054.35 = 204,675.13 : x
  2. Step 2: Convert to fraction form
    340,635.46/470,054.35 = 204,675.13/x
  3. Step 3: Cross multiply
    340,635.46x = 470,054.35 × 204,675.13
  4. Step 4: Simplify right side
    340,635.46x = 96,208,435,193.32
  5. Step 5: Solve for x
    x = 96,208,435,193.32/340,635.46
  6. Step 6: Final answer
    x = 282,438.11

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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.