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Finding the Fourth Proportional to 409,703.01, 565,747.16 and 257,003.68

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Solution

The fourth proportional to 409,703.01, 565,747.16 and 257,003.68 is: 354,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,703.01 : 565,747.16 = 257,003.68 : x
  2. Step 2: Convert to fraction form
    409,703.01/565,747.16 = 257,003.68/x
  3. Step 3: Cross multiply
    409,703.01x = 565,747.16 × 257,003.68
  4. Step 4: Simplify right side
    409,703.01x = 145,399,102,069.55
  5. Step 5: Solve for x
    x = 145,399,102,069.55/409,703.01
  6. Step 6: Final answer
    x = 354,889.03

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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.