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Finding the Fourth Proportional to 304,476.31, 456,413.25 and 144,270.82

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Solution

The fourth proportional to 304,476.31, 456,413.25 and 144,270.82 is: 216,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,476.31 : 456,413.25 = 144,270.82 : x
  2. Step 2: Convert to fraction form
    304,476.31/456,413.25 = 144,270.82/x
  3. Step 3: Cross multiply
    304,476.31x = 456,413.25 × 144,270.82
  4. Step 4: Simplify right side
    304,476.31x = 65,847,111,554.30
  5. Step 5: Solve for x
    x = 65,847,111,554.30/304,476.31
  6. Step 6: Final answer
    x = 216,263.50

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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.