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Finding the Fourth Proportional to 433,714.48, 650,409.92 and 149,324.70

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Solution

The fourth proportional to 433,714.48, 650,409.92 and 149,324.70 is: 223,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,714.48 : 650,409.92 = 149,324.70 : x
  2. Step 2: Convert to fraction form
    433,714.48/650,409.92 = 149,324.70/x
  3. Step 3: Cross multiply
    433,714.48x = 650,409.92 × 149,324.70
  4. Step 4: Simplify right side
    433,714.48x = 97,122,266,181.02
  5. Step 5: Solve for x
    x = 97,122,266,181.02/433,714.48
  6. Step 6: Final answer
    x = 223,931.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.