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Finding the Fourth Proportional to 470,974.60, 706,409.40 and 129,444.22

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Solution

The fourth proportional to 470,974.60, 706,409.40 and 129,444.22 is: 194,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,974.60 : 706,409.40 = 129,444.22 : x
  2. Step 2: Convert to fraction form
    470,974.60/706,409.40 = 129,444.22/x
  3. Step 3: Cross multiply
    470,974.60x = 706,409.40 × 129,444.22
  4. Step 4: Simplify right side
    470,974.60x = 91,440,613,783.67
  5. Step 5: Solve for x
    x = 91,440,613,783.67/470,974.60
  6. Step 6: Final answer
    x = 194,151.90

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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.