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Finding the Fourth Proportional to 312,096.30, 468,144.45 and 292,413.30

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Solution

The fourth proportional to 312,096.30, 468,144.45 and 292,413.30 is: 438,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,096.30 : 468,144.45 = 292,413.30 : x
  2. Step 2: Convert to fraction form
    312,096.30/468,144.45 = 292,413.30/x
  3. Step 3: Cross multiply
    312,096.30x = 468,144.45 × 292,413.30
  4. Step 4: Simplify right side
    312,096.30x = 136,891,663,501.19
  5. Step 5: Solve for x
    x = 136,891,663,501.19/312,096.30
  6. Step 6: Final answer
    x = 438,619.95

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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.