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Finding the Fourth Proportional to 535,116.48, 738,493.92 and 296,652.48

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Solution

The fourth proportional to 535,116.48, 738,493.92 and 296,652.48 is: 409,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,116.48 : 738,493.92 = 296,652.48 : x
  2. Step 2: Convert to fraction form
    535,116.48/738,493.92 = 296,652.48/x
  3. Step 3: Cross multiply
    535,116.48x = 738,493.92 × 296,652.48
  4. Step 4: Simplify right side
    535,116.48x = 219,076,052,832.92
  5. Step 5: Solve for x
    x = 219,076,052,832.92/535,116.48
  6. Step 6: Final answer
    x = 409,398.82

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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.