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Finding the Fourth Proportional to 535,684.35, 739,265.69 and 293,975.63

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Solution

The fourth proportional to 535,684.35, 739,265.69 and 293,975.63 is: 405,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,684.35 : 739,265.69 = 293,975.63 : x
  2. Step 2: Convert to fraction form
    535,684.35/739,265.69 = 293,975.63/x
  3. Step 3: Cross multiply
    535,684.35x = 739,265.69 × 293,975.63
  4. Step 4: Simplify right side
    535,684.35x = 217,326,095,112.38
  5. Step 5: Solve for x
    x = 217,326,095,112.38/535,684.35
  6. Step 6: Final answer
    x = 405,698.05

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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.