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Finding the Fourth Proportional to 233,488, 322,213.44 and 127,504

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Solution

The fourth proportional to 233,488, 322,213.44 and 127,504 is: 175,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,488 : 322,213.44 = 127,504 : x
  2. Step 2: Convert to fraction form
    233,488/322,213.44 = 127,504/x
  3. Step 3: Cross multiply
    233,488x = 322,213.44 × 127,504
  4. Step 4: Simplify right side
    233,488x = 41,083,502,453.76
  5. Step 5: Solve for x
    x = 41,083,502,453.76/233,488
  6. Step 6: Final answer
    x = 175,955.52

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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.