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Finding the Fourth Proportional to 535,646.61, 739,190.27 and 293,933.22

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Solution

The fourth proportional to 535,646.61, 739,190.27 and 293,933.22 is: 405,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,646.61 : 739,190.27 = 293,933.22 : x
  2. Step 2: Convert to fraction form
    535,646.61/739,190.27 = 293,933.22/x
  3. Step 3: Cross multiply
    535,646.61x = 739,190.27 × 293,933.22
  4. Step 4: Simplify right side
    535,646.61x = 217,272,574,784.10
  5. Step 5: Solve for x
    x = 217,272,574,784.10/535,646.61
  6. Step 6: Final answer
    x = 405,626.71

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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.