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Finding the Fourth Proportional to 315,573.94, 473,365.09 and 105,211.94

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Solution

The fourth proportional to 315,573.94, 473,365.09 and 105,211.94 is: 157,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,573.94 : 473,365.09 = 105,211.94 : x
  2. Step 2: Convert to fraction form
    315,573.94/473,365.09 = 105,211.94/x
  3. Step 3: Cross multiply
    315,573.94x = 473,365.09 × 105,211.94
  4. Step 4: Simplify right side
    315,573.94x = 49,803,659,447.17
  5. Step 5: Solve for x
    x = 49,803,659,447.17/315,573.94
  6. Step 6: Final answer
    x = 157,819.31

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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.