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Finding the Fourth Proportional to 589,681.92, 813,783.60 and 321,409.92

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Solution

The fourth proportional to 589,681.92, 813,783.60 and 321,409.92 is: 443,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,681.92 : 813,783.60 = 321,409.92 : x
  2. Step 2: Convert to fraction form
    589,681.92/813,783.60 = 321,409.92/x
  3. Step 3: Cross multiply
    589,681.92x = 813,783.60 × 321,409.92
  4. Step 4: Simplify right side
    589,681.92x = 261,558,121,773.31
  5. Step 5: Solve for x
    x = 261,558,121,773.31/589,681.92
  6. Step 6: Final answer
    x = 443,557.98

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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.