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Finding the Fourth Proportional to 400,811.46, 552,853.82 and 257,752.50

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Solution

The fourth proportional to 400,811.46, 552,853.82 and 257,752.50 is: 355,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,811.46 : 552,853.82 = 257,752.50 : x
  2. Step 2: Convert to fraction form
    400,811.46/552,853.82 = 257,752.50/x
  3. Step 3: Cross multiply
    400,811.46x = 552,853.82 × 257,752.50
  4. Step 4: Simplify right side
    400,811.46x = 142,499,454,239.55
  5. Step 5: Solve for x
    x = 142,499,454,239.55/400,811.46
  6. Step 6: Final answer
    x = 355,527.39

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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.