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Finding the Fourth Proportional to 427,561.86, 590,026.27 and 233,968.79

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Solution

The fourth proportional to 427,561.86, 590,026.27 and 233,968.79 is: 322,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,561.86 : 590,026.27 = 233,968.79 : x
  2. Step 2: Convert to fraction form
    427,561.86/590,026.27 = 233,968.79/x
  3. Step 3: Cross multiply
    427,561.86x = 590,026.27 × 233,968.79
  4. Step 4: Simplify right side
    427,561.86x = 138,047,732,460.11
  5. Step 5: Solve for x
    x = 138,047,732,460.11/427,561.86
  6. Step 6: Final answer
    x = 322,871.95

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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.