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Finding the Fourth Proportional to 501,689.64, 692,326.46 and 280,927.38

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Solution

The fourth proportional to 501,689.64, 692,326.46 and 280,927.38 is: 387,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,689.64 : 692,326.46 = 280,927.38 : x
  2. Step 2: Convert to fraction form
    501,689.64/692,326.46 = 280,927.38/x
  3. Step 3: Cross multiply
    501,689.64x = 692,326.46 × 280,927.38
  4. Step 4: Simplify right side
    501,689.64x = 194,493,458,512.48
  5. Step 5: Solve for x
    x = 194,493,458,512.48/501,689.64
  6. Step 6: Final answer
    x = 387,676.85

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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.