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Finding the Fourth Proportional to 409,621.51, 565,519.89 and 364,173.73

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Solution

The fourth proportional to 409,621.51, 565,519.89 and 364,173.73 is: 502,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,621.51 : 565,519.89 = 364,173.73 : x
  2. Step 2: Convert to fraction form
    409,621.51/565,519.89 = 364,173.73/x
  3. Step 3: Cross multiply
    409,621.51x = 565,519.89 × 364,173.73
  4. Step 4: Simplify right side
    409,621.51x = 205,947,487,730.49
  5. Step 5: Solve for x
    x = 205,947,487,730.49/409,621.51
  6. Step 6: Final answer
    x = 502,775.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.