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Finding the Fourth Proportional to 315,933.06, 473,924.04 and 105,571.74

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Solution

The fourth proportional to 315,933.06, 473,924.04 and 105,571.74 is: 158,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,933.06 : 473,924.04 = 105,571.74 : x
  2. Step 2: Convert to fraction form
    315,933.06/473,924.04 = 105,571.74/x
  3. Step 3: Cross multiply
    315,933.06x = 473,924.04 × 105,571.74
  4. Step 4: Simplify right side
    315,933.06x = 50,032,985,530.63
  5. Step 5: Solve for x
    x = 50,032,985,530.63/315,933.06
  6. Step 6: Final answer
    x = 158,365.78

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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.