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Finding the Fourth Proportional to 286,022.40, 429,033.60 and 232,878.30

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Solution

The fourth proportional to 286,022.40, 429,033.60 and 232,878.30 is: 349,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,022.40 : 429,033.60 = 232,878.30 : x
  2. Step 2: Convert to fraction form
    286,022.40/429,033.60 = 232,878.30/x
  3. Step 3: Cross multiply
    286,022.40x = 429,033.60 × 232,878.30
  4. Step 4: Simplify right side
    286,022.40x = 99,912,615,410.88
  5. Step 5: Solve for x
    x = 99,912,615,410.88/286,022.40
  6. Step 6: Final answer
    x = 349,317.45

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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.