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Finding the Fourth Proportional to 282,568.32, 389,782.08 and 176,400

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Solution

The fourth proportional to 282,568.32, 389,782.08 and 176,400 is: 243,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,568.32 : 389,782.08 = 176,400 : x
  2. Step 2: Convert to fraction form
    282,568.32/389,782.08 = 176,400/x
  3. Step 3: Cross multiply
    282,568.32x = 389,782.08 × 176,400
  4. Step 4: Simplify right side
    282,568.32x = 68,757,558,912
  5. Step 5: Solve for x
    x = 68,757,558,912/282,568.32
  6. Step 6: Final answer
    x = 243,330.74

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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.