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Finding the Fourth Proportional to 405,914.01, 608,873.61 and 106,392.00

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Solution

The fourth proportional to 405,914.01, 608,873.61 and 106,392.00 is: 159,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,914.01 : 608,873.61 = 106,392.00 : x
  2. Step 2: Convert to fraction form
    405,914.01/608,873.61 = 106,392.00/x
  3. Step 3: Cross multiply
    405,914.01x = 608,873.61 × 106,392.00
  4. Step 4: Simplify right side
    405,914.01x = 64,779,279,805.09
  5. Step 5: Solve for x
    x = 64,779,279,805.09/405,914.01
  6. Step 6: Final answer
    x = 159,588.68

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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.