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Finding the Fourth Proportional to 413,861.96, 620,950.54 and 144,020.08

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Solution

The fourth proportional to 413,861.96, 620,950.54 and 144,020.08 is: 216,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,861.96 : 620,950.54 = 144,020.08 : x
  2. Step 2: Convert to fraction form
    413,861.96/620,950.54 = 144,020.08/x
  3. Step 3: Cross multiply
    413,861.96x = 620,950.54 × 144,020.08
  4. Step 4: Simplify right side
    413,861.96x = 89,429,344,534.42
  5. Step 5: Solve for x
    x = 89,429,344,534.42/413,861.96
  6. Step 6: Final answer
    x = 216,084.96

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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.