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Finding the Fourth Proportional to 606,714.02, 909,362.34 and 456,471.56

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Solution

The fourth proportional to 606,714.02, 909,362.34 and 456,471.56 is: 684,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,714.02 : 909,362.34 = 456,471.56 : x
  2. Step 2: Convert to fraction form
    606,714.02/909,362.34 = 456,471.56/x
  3. Step 3: Cross multiply
    606,714.02x = 909,362.34 × 456,471.56
  4. Step 4: Simplify right side
    606,714.02x = 415,098,045,945.05
  5. Step 5: Solve for x
    x = 415,098,045,945.05/606,714.02
  6. Step 6: Final answer
    x = 684,174.15

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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.