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Finding the Fourth Proportional to 588,409.68, 882,614.88 and 411,262.56

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Solution

The fourth proportional to 588,409.68, 882,614.88 and 411,262.56 is: 616,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,409.68 : 882,614.88 = 411,262.56 : x
  2. Step 2: Convert to fraction form
    588,409.68/882,614.88 = 411,262.56/x
  3. Step 3: Cross multiply
    588,409.68x = 882,614.88 × 411,262.56
  4. Step 4: Simplify right side
    588,409.68x = 362,986,455,042.89
  5. Step 5: Solve for x
    x = 362,986,455,042.89/588,409.68
  6. Step 6: Final answer
    x = 616,894.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.