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Finding the Fourth Proportional to 427,922.06, 590,541.72 and 234,338

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Solution

The fourth proportional to 427,922.06, 590,541.72 and 234,338 is: 323,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,922.06 : 590,541.72 = 234,338 : x
  2. Step 2: Convert to fraction form
    427,922.06/590,541.72 = 234,338/x
  3. Step 3: Cross multiply
    427,922.06x = 590,541.72 × 234,338
  4. Step 4: Simplify right side
    427,922.06x = 138,386,365,581.36
  5. Step 5: Solve for x
    x = 138,386,365,581.36/427,922.06
  6. Step 6: Final answer
    x = 323,391.52

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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.