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Finding the Fourth Proportional to 589,553.94, 813,353.48 and 362,805.78

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Solution

The fourth proportional to 589,553.94, 813,353.48 and 362,805.78 is: 500,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,553.94 : 813,353.48 = 362,805.78 : x
  2. Step 2: Convert to fraction form
    589,553.94/813,353.48 = 362,805.78/x
  3. Step 3: Cross multiply
    589,553.94x = 813,353.48 × 362,805.78
  4. Step 4: Simplify right side
    589,553.94x = 295,089,343,727.11
  5. Step 5: Solve for x
    x = 295,089,343,727.11/589,553.94
  6. Step 6: Final answer
    x = 500,529.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.