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Finding the Fourth Proportional to 589,298.63, 813,193.83 and 347,525.78

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Solution

The fourth proportional to 589,298.63, 813,193.83 and 347,525.78 is: 479,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,298.63 : 813,193.83 = 347,525.78 : x
  2. Step 2: Convert to fraction form
    589,298.63/813,193.83 = 347,525.78/x
  3. Step 3: Cross multiply
    589,298.63x = 813,193.83 × 347,525.78
  4. Step 4: Simplify right side
    589,298.63x = 282,605,815,995.97
  5. Step 5: Solve for x
    x = 282,605,815,995.97/589,298.63
  6. Step 6: Final answer
    x = 479,563.00

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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.