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Finding the Fourth Proportional to 535,893.24, 739,381.17 and 345,017.14

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Solution

The fourth proportional to 535,893.24, 739,381.17 and 345,017.14 is: 476,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,893.24 : 739,381.17 = 345,017.14 : x
  2. Step 2: Convert to fraction form
    535,893.24/739,381.17 = 345,017.14/x
  3. Step 3: Cross multiply
    535,893.24x = 739,381.17 × 345,017.14
  4. Step 4: Simplify right side
    535,893.24x = 255,099,176,643.25
  5. Step 5: Solve for x
    x = 255,099,176,643.25/535,893.24
  6. Step 6: Final answer
    x = 476,026.11

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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.