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Finding the Fourth Proportional to 779,835, 1,076,175.18 and 422,139

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Solution

The fourth proportional to 779,835, 1,076,175.18 and 422,139 is: 582,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,835 : 1,076,175.18 = 422,139 : x
  2. Step 2: Convert to fraction form
    779,835/1,076,175.18 = 422,139/x
  3. Step 3: Cross multiply
    779,835x = 1,076,175.18 × 422,139
  4. Step 4: Simplify right side
    779,835x = 454,295,514,310.02
  5. Step 5: Solve for x
    x = 454,295,514,310.02/779,835
  6. Step 6: Final answer
    x = 582,553.38

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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.