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Finding the Fourth Proportional to 535,120.48, 738,499.44 and 296,656.48

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Solution

The fourth proportional to 535,120.48, 738,499.44 and 296,656.48 is: 409,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,120.48 : 738,499.44 = 296,656.48 : x
  2. Step 2: Convert to fraction form
    535,120.48/738,499.44 = 296,656.48/x
  3. Step 3: Cross multiply
    535,120.48x = 738,499.44 × 296,656.48
  4. Step 4: Simplify right side
    535,120.48x = 219,080,644,352.37
  5. Step 5: Solve for x
    x = 219,080,644,352.37/535,120.48
  6. Step 6: Final answer
    x = 409,404.34

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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.