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Finding the Fourth Proportional to 535,460.30, 738,940.86 and 293,743.34

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Solution

The fourth proportional to 535,460.30, 738,940.86 and 293,743.34 is: 405,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,460.30 : 738,940.86 = 293,743.34 : x
  2. Step 2: Convert to fraction form
    535,460.30/738,940.86 = 293,743.34/x
  3. Step 3: Cross multiply
    535,460.30x = 738,940.86 × 293,743.34
  4. Step 4: Simplify right side
    535,460.30x = 217,058,956,278.87
  5. Step 5: Solve for x
    x = 217,058,956,278.87/535,460.30
  6. Step 6: Final answer
    x = 405,368.91

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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.