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Finding the Fourth Proportional to 409,599.56, 565,489.87 and 364,152.02

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Solution

The fourth proportional to 409,599.56, 565,489.87 and 364,152.02 is: 502,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,599.56 : 565,489.87 = 364,152.02 : x
  2. Step 2: Convert to fraction form
    409,599.56/565,489.87 = 364,152.02/x
  3. Step 3: Cross multiply
    409,599.56x = 565,489.87 × 364,152.02
  4. Step 4: Simplify right side
    409,599.56x = 205,924,274,712.21
  5. Step 5: Solve for x
    x = 205,924,274,712.21/409,599.56
  6. Step 6: Final answer
    x = 502,745.35

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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.