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Finding the Fourth Proportional to 304,531.40, 420,156.71 and 177,182.39

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Solution

The fourth proportional to 304,531.40, 420,156.71 and 177,182.39 is: 244,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,531.40 : 420,156.71 = 177,182.39 : x
  2. Step 2: Convert to fraction form
    304,531.40/420,156.71 = 177,182.39/x
  3. Step 3: Cross multiply
    304,531.40x = 420,156.71 × 177,182.39
  4. Step 4: Simplify right side
    304,531.40x = 74,444,368,394.51
  5. Step 5: Solve for x
    x = 74,444,368,394.51/304,531.40
  6. Step 6: Final answer
    x = 244,455.48

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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.