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Finding the Fourth Proportional to 315,907.94, 473,577.42 and 116,185.61

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Solution

The fourth proportional to 315,907.94, 473,577.42 and 116,185.61 is: 174,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,907.94 : 473,577.42 = 116,185.61 : x
  2. Step 2: Convert to fraction form
    315,907.94/473,577.42 = 116,185.61/x
  3. Step 3: Cross multiply
    315,907.94x = 473,577.42 × 116,185.61
  4. Step 4: Simplify right side
    315,907.94x = 55,022,881,424.93
  5. Step 5: Solve for x
    x = 55,022,881,424.93/315,907.94
  6. Step 6: Final answer
    x = 174,173.78

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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.