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Finding the Fourth Proportional to 456,413.93, 629,639.08 and 295,320.93

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Solution

The fourth proportional to 456,413.93, 629,639.08 and 295,320.93 is: 407,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,413.93 : 629,639.08 = 295,320.93 : x
  2. Step 2: Convert to fraction form
    456,413.93/629,639.08 = 295,320.93/x
  3. Step 3: Cross multiply
    456,413.93x = 629,639.08 × 295,320.93
  4. Step 4: Simplify right side
    456,413.93x = 185,945,598,669.94
  5. Step 5: Solve for x
    x = 185,945,598,669.94/456,413.93
  6. Step 6: Final answer
    x = 407,405.62

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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.