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Finding the Fourth Proportional to 427,262.40, 589,623.92 and 233,673.92

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Solution

The fourth proportional to 427,262.40, 589,623.92 and 233,673.92 is: 322,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,262.40 : 589,623.92 = 233,673.92 : x
  2. Step 2: Convert to fraction form
    427,262.40/589,623.92 = 233,673.92/x
  3. Step 3: Cross multiply
    427,262.40x = 589,623.92 × 233,673.92
  4. Step 4: Simplify right side
    427,262.40x = 137,779,732,712.17
  5. Step 5: Solve for x
    x = 137,779,732,712.17/427,262.40
  6. Step 6: Final answer
    x = 322,471.00

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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.