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Finding the Fourth Proportional to 659,609.12, 989,416.02 and 160,973.12

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Solution

The fourth proportional to 659,609.12, 989,416.02 and 160,973.12 is: 241,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,609.12 : 989,416.02 = 160,973.12 : x
  2. Step 2: Convert to fraction form
    659,609.12/989,416.02 = 160,973.12/x
  3. Step 3: Cross multiply
    659,609.12x = 989,416.02 × 160,973.12
  4. Step 4: Simplify right side
    659,609.12x = 159,269,383,717.38
  5. Step 5: Solve for x
    x = 159,269,383,717.38/659,609.12
  6. Step 6: Final answer
    x = 241,460.25

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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.