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Finding the Fourth Proportional to 405,406.34, 608,174.83 and 124,923.46

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Solution

The fourth proportional to 405,406.34, 608,174.83 and 124,923.46 is: 187,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,406.34 : 608,174.83 = 124,923.46 : x
  2. Step 2: Convert to fraction form
    405,406.34/608,174.83 = 124,923.46/x
  3. Step 3: Cross multiply
    405,406.34x = 608,174.83 × 124,923.46
  4. Step 4: Simplify right side
    405,406.34x = 75,975,304,048.51
  5. Step 5: Solve for x
    x = 75,975,304,048.51/405,406.34
  6. Step 6: Final answer
    x = 187,405.32

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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.