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Finding the Fourth Proportional to 380,675.36, 570,390.08 and 230,460.36

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Solution

The fourth proportional to 380,675.36, 570,390.08 and 230,460.36 is: 345,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,675.36 : 570,390.08 = 230,460.36 : x
  2. Step 2: Convert to fraction form
    380,675.36/570,390.08 = 230,460.36/x
  3. Step 3: Cross multiply
    380,675.36x = 570,390.08 × 230,460.36
  4. Step 4: Simplify right side
    380,675.36x = 131,452,303,177.23
  5. Step 5: Solve for x
    x = 131,452,303,177.23/380,675.36
  6. Step 6: Final answer
    x = 345,313.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.