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Finding the Fourth Proportional to 315,913.31, 473,953.08 and 113,529.86

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Solution

The fourth proportional to 315,913.31, 473,953.08 and 113,529.86 is: 170,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,913.31 : 473,953.08 = 113,529.86 : x
  2. Step 2: Convert to fraction form
    315,913.31/473,953.08 = 113,529.86/x
  3. Step 3: Cross multiply
    315,913.31x = 473,953.08 × 113,529.86
  4. Step 4: Simplify right side
    315,913.31x = 53,807,826,818.97
  5. Step 5: Solve for x
    x = 53,807,826,818.97/315,913.31
  6. Step 6: Final answer
    x = 170,324.66

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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.