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Finding the Fourth Proportional to 497,434.97, 686,265.39 and 306,116.21

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Solution

The fourth proportional to 497,434.97, 686,265.39 and 306,116.21 is: 422,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,434.97 : 686,265.39 = 306,116.21 : x
  2. Step 2: Convert to fraction form
    497,434.97/686,265.39 = 306,116.21/x
  3. Step 3: Cross multiply
    497,434.97x = 686,265.39 × 306,116.21
  4. Step 4: Simplify right side
    497,434.97x = 210,076,960,240.97
  5. Step 5: Solve for x
    x = 210,076,960,240.97/497,434.97
  6. Step 6: Final answer
    x = 422,320.45

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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.