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Finding the Fourth Proportional to 315,770.50, 473,889.03 and 149,558.50

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Solution

The fourth proportional to 315,770.50, 473,889.03 and 149,558.50 is: 224,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,770.50 : 473,889.03 = 149,558.50 : x
  2. Step 2: Convert to fraction form
    315,770.50/473,889.03 = 149,558.50/x
  3. Step 3: Cross multiply
    315,770.50x = 473,889.03 × 149,558.50
  4. Step 4: Simplify right side
    315,770.50x = 70,874,132,493.26
  5. Step 5: Solve for x
    x = 70,874,132,493.26/315,770.50
  6. Step 6: Final answer
    x = 224,448.24

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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.