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Finding the Fourth Proportional to 474,561.80, 654,895.32 and 259,701.98

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Solution

The fourth proportional to 474,561.80, 654,895.32 and 259,701.98 is: 358,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,561.80 : 654,895.32 = 259,701.98 : x
  2. Step 2: Convert to fraction form
    474,561.80/654,895.32 = 259,701.98/x
  3. Step 3: Cross multiply
    474,561.80x = 654,895.32 × 259,701.98
  4. Step 4: Simplify right side
    474,561.80x = 170,077,611,296.73
  5. Step 5: Solve for x
    x = 170,077,611,296.73/474,561.80
  6. Step 6: Final answer
    x = 358,388.75

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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.