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Finding the Fourth Proportional to 497,056.26, 685,957.06 and 282,216.32

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Solution

The fourth proportional to 497,056.26, 685,957.06 and 282,216.32 is: 389,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,056.26 : 685,957.06 = 282,216.32 : x
  2. Step 2: Convert to fraction form
    497,056.26/685,957.06 = 282,216.32/x
  3. Step 3: Cross multiply
    497,056.26x = 685,957.06 × 282,216.32
  4. Step 4: Simplify right side
    497,056.26x = 193,588,277,151.22
  5. Step 5: Solve for x
    x = 193,588,277,151.22/497,056.26
  6. Step 6: Final answer
    x = 389,469.55

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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.