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Finding the Fourth Proportional to 546,814.80, 754,301.16 and 320,416.56

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Solution

The fourth proportional to 546,814.80, 754,301.16 and 320,416.56 is: 441,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,814.80 : 754,301.16 = 320,416.56 : x
  2. Step 2: Convert to fraction form
    546,814.80/754,301.16 = 320,416.56/x
  3. Step 3: Cross multiply
    546,814.80x = 754,301.16 × 320,416.56
  4. Step 4: Simplify right side
    546,814.80x = 241,690,582,891.21
  5. Step 5: Solve for x
    x = 241,690,582,891.21/546,814.80
  6. Step 6: Final answer
    x = 441,997.15

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1.5x scale

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.