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Finding the Fourth Proportional to 497,096.94, 686,083.08 and 293,135.64

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Solution

The fourth proportional to 497,096.94, 686,083.08 and 293,135.64 is: 404,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,096.94 : 686,083.08 = 293,135.64 : x
  2. Step 2: Convert to fraction form
    497,096.94/686,083.08 = 293,135.64/x
  3. Step 3: Cross multiply
    497,096.94x = 686,083.08 × 293,135.64
  4. Step 4: Simplify right side
    497,096.94x = 201,115,402,748.97
  5. Step 5: Solve for x
    x = 201,115,402,748.97/497,096.94
  6. Step 6: Final answer
    x = 404,579.84

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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.