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Finding the Fourth Proportional to 405,926.04, 608,891.64 and 106,404

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Solution

The fourth proportional to 405,926.04, 608,891.64 and 106,404 is: 159,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,926.04 : 608,891.64 = 106,404 : x
  2. Step 2: Convert to fraction form
    405,926.04/608,891.64 = 106,404/x
  3. Step 3: Cross multiply
    405,926.04x = 608,891.64 × 106,404
  4. Step 4: Simplify right side
    405,926.04x = 64,788,506,062.56
  5. Step 5: Solve for x
    x = 64,788,506,062.56/405,926.04
  6. Step 6: Final answer
    x = 159,606.68

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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.