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Finding the Fourth Proportional to 501,058.50, 691,461.65 and 271,615.08

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Solution

The fourth proportional to 501,058.50, 691,461.65 and 271,615.08 is: 374,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,058.50 : 691,461.65 = 271,615.08 : x
  2. Step 2: Convert to fraction form
    501,058.50/691,461.65 = 271,615.08/x
  3. Step 3: Cross multiply
    501,058.50x = 691,461.65 × 271,615.08
  4. Step 4: Simplify right side
    501,058.50x = 187,811,407,924.37
  5. Step 5: Solve for x
    x = 187,811,407,924.37/501,058.50
  6. Step 6: Final answer
    x = 374,829.31

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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.