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Finding the Fourth Proportional to 360,833.63, 497,376.77 and 284,231.39

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Solution

The fourth proportional to 360,833.63, 497,376.77 and 284,231.39 is: 391,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,833.63 : 497,376.77 = 284,231.39 : x
  2. Step 2: Convert to fraction form
    360,833.63/497,376.77 = 284,231.39/x
  3. Step 3: Cross multiply
    360,833.63x = 497,376.77 × 284,231.39
  4. Step 4: Simplify right side
    360,833.63x = 141,370,086,782.77
  5. Step 5: Solve for x
    x = 141,370,086,782.77/360,833.63
  6. Step 6: Final answer
    x = 391,787.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.