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Finding the Fourth Proportional to 419,514.76, 632,434.57 and 392,454.28

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Solution

The fourth proportional to 419,514.76, 632,434.57 and 392,454.28 is: 591,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,514.76 : 632,434.57 = 392,454.28 : x
  2. Step 2: Convert to fraction form
    419,514.76/632,434.57 = 392,454.28/x
  3. Step 3: Cross multiply
    419,514.76x = 632,434.57 × 392,454.28
  4. Step 4: Simplify right side
    419,514.76x = 248,201,653,816.46
  5. Step 5: Solve for x
    x = 248,201,653,816.46/419,514.76
  6. Step 6: Final answer
    x = 591,639.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.