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Finding the Fourth Proportional to 590,978.92, 821,056.84 and 583,893.04

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Solution

The fourth proportional to 590,978.92, 821,056.84 and 583,893.04 is: 811,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978.92 : 821,056.84 = 583,893.04 : x
  2. Step 2: Convert to fraction form
    590,978.92/821,056.84 = 583,893.04/x
  3. Step 3: Cross multiply
    590,978.92x = 821,056.84 × 583,893.04
  4. Step 4: Simplify right side
    590,978.92x = 479,409,374,320.39
  5. Step 5: Solve for x
    x = 479,409,374,320.39/590,978.92
  6. Step 6: Final answer
    x = 811,212.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.