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Finding the Fourth Proportional to 286,181.12, 427,343.92 and 233,693.12

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Solution

The fourth proportional to 286,181.12, 427,343.92 and 233,693.12 is: 348,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,181.12 : 427,343.92 = 233,693.12 : x
  2. Step 2: Convert to fraction form
    286,181.12/427,343.92 = 233,693.12/x
  3. Step 3: Cross multiply
    286,181.12x = 427,343.92 × 233,693.12
  4. Step 4: Simplify right side
    286,181.12x = 99,867,333,977.83
  5. Step 5: Solve for x
    x = 99,867,333,977.83/286,181.12
  6. Step 6: Final answer
    x = 348,965.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.