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Finding the Fourth Proportional to 538,526.98, 743,157.48 and 293,513.86

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Solution

The fourth proportional to 538,526.98, 743,157.48 and 293,513.86 is: 405,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,526.98 : 743,157.48 = 293,513.86 : x
  2. Step 2: Convert to fraction form
    538,526.98/743,157.48 = 293,513.86/x
  3. Step 3: Cross multiply
    538,526.98x = 743,157.48 × 293,513.86
  4. Step 4: Simplify right side
    538,526.98x = 218,127,020,542.67
  5. Step 5: Solve for x
    x = 218,127,020,542.67/538,526.98
  6. Step 6: Final answer
    x = 405,043.81

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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.