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Finding the Fourth Proportional to 427,919.06, 590,537.58 and 234,335

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Solution

The fourth proportional to 427,919.06, 590,537.58 and 234,335 is: 323,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,919.06 : 590,537.58 = 234,335 : x
  2. Step 2: Convert to fraction form
    427,919.06/590,537.58 = 234,335/x
  3. Step 3: Cross multiply
    427,919.06x = 590,537.58 × 234,335
  4. Step 4: Simplify right side
    427,919.06x = 138,383,623,809.30
  5. Step 5: Solve for x
    x = 138,383,623,809.30/427,919.06
  6. Step 6: Final answer
    x = 323,387.38

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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.