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Finding the Fourth Proportional to 315,769.50, 473,887.53 and 149,557.50

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Solution

The fourth proportional to 315,769.50, 473,887.53 and 149,557.50 is: 224,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,769.50 : 473,887.53 = 149,557.50 : x
  2. Step 2: Convert to fraction form
    315,769.50/473,887.53 = 149,557.50/x
  3. Step 3: Cross multiply
    315,769.50x = 473,887.53 × 149,557.50
  4. Step 4: Simplify right side
    315,769.50x = 70,873,434,267.98
  5. Step 5: Solve for x
    x = 70,873,434,267.98/315,769.50
  6. Step 6: Final answer
    x = 224,446.74

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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.