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Finding the Fourth Proportional to 470,895.96, 706,268.19 and 129,259.67

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Solution

The fourth proportional to 470,895.96, 706,268.19 and 129,259.67 is: 193,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,895.96 : 706,268.19 = 129,259.67 : x
  2. Step 2: Convert to fraction form
    470,895.96/706,268.19 = 129,259.67/x
  3. Step 3: Cross multiply
    470,895.96x = 706,268.19 × 129,259.67
  4. Step 4: Simplify right side
    470,895.96x = 91,291,994,992.79
  5. Step 5: Solve for x
    x = 91,291,994,992.79/470,895.96
  6. Step 6: Final answer
    x = 193,868.72

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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.