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Finding the Fourth Proportional to 291,238, 401,918.16 and 178,038.88

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Solution

The fourth proportional to 291,238, 401,918.16 and 178,038.88 is: 245,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,238 : 401,918.16 = 178,038.88 : x
  2. Step 2: Convert to fraction form
    291,238/401,918.16 = 178,038.88/x
  3. Step 3: Cross multiply
    291,238x = 401,918.16 × 178,038.88
  4. Step 4: Simplify right side
    291,238x = 71,557,059,058.06
  5. Step 5: Solve for x
    x = 71,557,059,058.06/291,238
  6. Step 6: Final answer
    x = 245,699.60

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Why These Related Problems?

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