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Finding the Fourth Proportional to 497,056.32, 685,957.14 and 282,216.39

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Solution

The fourth proportional to 497,056.32, 685,957.14 and 282,216.39 is: 389,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,056.32 : 685,957.14 = 282,216.39 : x
  2. Step 2: Convert to fraction form
    497,056.32/685,957.14 = 282,216.39/x
  3. Step 3: Cross multiply
    497,056.32x = 685,957.14 × 282,216.39
  4. Step 4: Simplify right side
    497,056.32x = 193,588,347,745.53
  5. Step 5: Solve for x
    x = 193,588,347,745.53/497,056.32
  6. Step 6: Final answer
    x = 389,469.64

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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.