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Finding the Fourth Proportional to 510,561.96, 704,768.31 and 401,381.48

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Solution

The fourth proportional to 510,561.96, 704,768.31 and 401,381.48 is: 554,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,561.96 : 704,768.31 = 401,381.48 : x
  2. Step 2: Convert to fraction form
    510,561.96/704,768.31 = 401,381.48/x
  3. Step 3: Cross multiply
    510,561.96x = 704,768.31 × 401,381.48
  4. Step 4: Simplify right side
    510,561.96x = 282,880,943,801.06
  5. Step 5: Solve for x
    x = 282,880,943,801.06/510,561.96
  6. Step 6: Final answer
    x = 554,058.01

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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.