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Finding the Fourth Proportional to 405,603.97, 608,359.48 and 106,113.46

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Solution

The fourth proportional to 405,603.97, 608,359.48 and 106,113.46 is: 159,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,603.97 : 608,359.48 = 106,113.46 : x
  2. Step 2: Convert to fraction form
    405,603.97/608,359.48 = 106,113.46/x
  3. Step 3: Cross multiply
    405,603.97x = 608,359.48 × 106,113.46
  4. Step 4: Simplify right side
    405,603.97x = 64,555,129,346.60
  5. Step 5: Solve for x
    x = 64,555,129,346.60/405,603.97
  6. Step 6: Final answer
    x = 159,158.03

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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.