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Finding the Fourth Proportional to 535,580.47, 739,148.96 and 293,910.15

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Solution

The fourth proportional to 535,580.47, 739,148.96 and 293,910.15 is: 405,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,580.47 : 739,148.96 = 293,910.15 : x
  2. Step 2: Convert to fraction form
    535,580.47/739,148.96 = 293,910.15/x
  3. Step 3: Cross multiply
    535,580.47x = 739,148.96 × 293,910.15
  4. Step 4: Simplify right side
    535,580.47x = 217,243,385,212.53
  5. Step 5: Solve for x
    x = 217,243,385,212.53/535,580.47
  6. Step 6: Final answer
    x = 405,622.30

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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.