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Finding the Fourth Proportional to 304,079.81, 419,696.76 and 176,828.81

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Solution

The fourth proportional to 304,079.81, 419,696.76 and 176,828.81 is: 244,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,079.81 : 419,696.76 = 176,828.81 : x
  2. Step 2: Convert to fraction form
    304,079.81/419,696.76 = 176,828.81/x
  3. Step 3: Cross multiply
    304,079.81x = 419,696.76 × 176,828.81
  4. Step 4: Simplify right side
    304,079.81x = 74,214,477,747.51
  5. Step 5: Solve for x
    x = 74,214,477,747.51/304,079.81
  6. Step 6: Final answer
    x = 244,062.50

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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.