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Finding the Fourth Proportional to 506,127.02, 694,737.46 and 447,481.68

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Solution

The fourth proportional to 506,127.02, 694,737.46 and 447,481.68 is: 614,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,127.02 : 694,737.46 = 447,481.68 : x
  2. Step 2: Convert to fraction form
    506,127.02/694,737.46 = 447,481.68/x
  3. Step 3: Cross multiply
    506,127.02x = 694,737.46 × 447,481.68
  4. Step 4: Simplify right side
    506,127.02x = 310,882,284,641.03
  5. Step 5: Solve for x
    x = 310,882,284,641.03/506,127.02
  6. Step 6: Final answer
    x = 614,237.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.