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Finding the Fourth Proportional to 470,965.14, 706,472.10 and 155,446.62

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Solution

The fourth proportional to 470,965.14, 706,472.10 and 155,446.62 is: 233,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,965.14 : 706,472.10 = 155,446.62 : x
  2. Step 2: Convert to fraction form
    470,965.14/706,472.10 = 155,446.62/x
  3. Step 3: Cross multiply
    470,965.14x = 706,472.10 × 155,446.62
  4. Step 4: Simplify right side
    470,965.14x = 109,818,700,069.30
  5. Step 5: Solve for x
    x = 109,818,700,069.30/470,965.14
  6. Step 6: Final answer
    x = 233,177.98

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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.