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Finding the Fourth Proportional to 535,370.64, 738,832.14 and 293,663.40

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Solution

The fourth proportional to 535,370.64, 738,832.14 and 293,663.40 is: 405,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,370.64 : 738,832.14 = 293,663.40 : x
  2. Step 2: Convert to fraction form
    535,370.64/738,832.14 = 293,663.40/x
  3. Step 3: Cross multiply
    535,370.64x = 738,832.14 × 293,663.40
  4. Step 4: Simplify right side
    535,370.64x = 216,967,958,261.68
  5. Step 5: Solve for x
    x = 216,967,958,261.68/535,370.64
  6. Step 6: Final answer
    x = 405,266.82

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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.