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Finding the Fourth Proportional to 409,620.51, 565,518.51 and 364,172.73

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Solution

The fourth proportional to 409,620.51, 565,518.51 and 364,172.73 is: 502,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,620.51 : 565,518.51 = 364,172.73 : x
  2. Step 2: Convert to fraction form
    409,620.51/565,518.51 = 364,172.73/x
  3. Step 3: Cross multiply
    409,620.51x = 565,518.51 × 364,172.73
  4. Step 4: Simplify right side
    409,620.51x = 205,946,417,531.54
  5. Step 5: Solve for x
    x = 205,946,417,531.54/409,620.51
  6. Step 6: Final answer
    x = 502,773.70

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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.