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Finding the Fourth Proportional to 535,994.96, 739,639.89 and 294,276.17

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Solution

The fourth proportional to 535,994.96, 739,639.89 and 294,276.17 is: 406,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,994.96 : 739,639.89 = 294,276.17 : x
  2. Step 2: Convert to fraction form
    535,994.96/739,639.89 = 294,276.17/x
  3. Step 3: Cross multiply
    535,994.96x = 739,639.89 × 294,276.17
  4. Step 4: Simplify right side
    535,994.96x = 217,658,390,310.22
  5. Step 5: Solve for x
    x = 217,658,390,310.22/535,994.96
  6. Step 6: Final answer
    x = 406,082.91

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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.