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Finding the Fourth Proportional to 590,558.60, 885,837.90 and 413,611.40

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Solution

The fourth proportional to 590,558.60, 885,837.90 and 413,611.40 is: 620,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,558.60 : 885,837.90 = 413,611.40 : x
  2. Step 2: Convert to fraction form
    590,558.60/885,837.90 = 413,611.40/x
  3. Step 3: Cross multiply
    590,558.60x = 885,837.90 × 413,611.40
  4. Step 4: Simplify right side
    590,558.60x = 366,392,653,992.06
  5. Step 5: Solve for x
    x = 366,392,653,992.06/590,558.60
  6. Step 6: Final answer
    x = 620,417.10

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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.