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Finding the Fourth Proportional to 304,166.40, 456,508.80 and 135,945.60

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Solution

The fourth proportional to 304,166.40, 456,508.80 and 135,945.60 is: 204,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,166.40 : 456,508.80 = 135,945.60 : x
  2. Step 2: Convert to fraction form
    304,166.40/456,508.80 = 135,945.60/x
  3. Step 3: Cross multiply
    304,166.40x = 456,508.80 × 135,945.60
  4. Step 4: Simplify right side
    304,166.40x = 62,060,362,721.28
  5. Step 5: Solve for x
    x = 62,060,362,721.28/304,166.40
  6. Step 6: Final answer
    x = 204,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.