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Finding the Fourth Proportional to 472,780.44, 652,453.44 and 257,932.32

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Solution

The fourth proportional to 472,780.44, 652,453.44 and 257,932.32 is: 355,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,780.44 : 652,453.44 = 257,932.32 : x
  2. Step 2: Convert to fraction form
    472,780.44/652,453.44 = 257,932.32/x
  3. Step 3: Cross multiply
    472,780.44x = 652,453.44 × 257,932.32
  4. Step 4: Simplify right side
    472,780.44x = 168,288,829,471.18
  5. Step 5: Solve for x
    x = 168,288,829,471.18/472,780.44
  6. Step 6: Final answer
    x = 355,955.57

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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.