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Finding the Fourth Proportional to 315,573.44, 473,364.34 and 105,211.44

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Solution

The fourth proportional to 315,573.44, 473,364.34 and 105,211.44 is: 157,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,573.44 : 473,364.34 = 105,211.44 : x
  2. Step 2: Convert to fraction form
    315,573.44/473,364.34 = 105,211.44/x
  3. Step 3: Cross multiply
    315,573.44x = 473,364.34 × 105,211.44
  4. Step 4: Simplify right side
    315,573.44x = 49,803,343,593.02
  5. Step 5: Solve for x
    x = 49,803,343,593.02/315,573.44
  6. Step 6: Final answer
    x = 157,818.56

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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.