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Finding the Fourth Proportional to 590,659.60, 885,989.40 and 413,712.40

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Solution

The fourth proportional to 590,659.60, 885,989.40 and 413,712.40 is: 620,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,659.60 : 885,989.40 = 413,712.40 : x
  2. Step 2: Convert to fraction form
    590,659.60/885,989.40 = 413,712.40/x
  3. Step 3: Cross multiply
    590,659.60x = 885,989.40 × 413,712.40
  4. Step 4: Simplify right side
    590,659.60x = 366,544,801,048.56
  5. Step 5: Solve for x
    x = 366,544,801,048.56/590,659.60
  6. Step 6: Final answer
    x = 620,568.60

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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.