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Finding the Fourth Proportional to 589,033.48, 807,971.93 and 583,972.60

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Solution

The fourth proportional to 589,033.48, 807,971.93 and 583,972.60 is: 801,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,033.48 : 807,971.93 = 583,972.60 : x
  2. Step 2: Convert to fraction form
    589,033.48/807,971.93 = 583,972.60/x
  3. Step 3: Cross multiply
    589,033.48x = 807,971.93 × 583,972.60
  4. Step 4: Simplify right side
    589,033.48x = 471,833,468,689.12
  5. Step 5: Solve for x
    x = 471,833,468,689.12/589,033.48
  6. Step 6: Final answer
    x = 801,029.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.