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Finding the Fourth Proportional to 506,814.57, 699,205.16 and 325,501.34

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Solution

The fourth proportional to 506,814.57, 699,205.16 and 325,501.34 is: 449,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,814.57 : 699,205.16 = 325,501.34 : x
  2. Step 2: Convert to fraction form
    506,814.57/699,205.16 = 325,501.34/x
  3. Step 3: Cross multiply
    506,814.57x = 699,205.16 × 325,501.34
  4. Step 4: Simplify right side
    506,814.57x = 227,592,213,832.64
  5. Step 5: Solve for x
    x = 227,592,213,832.64/506,814.57
  6. Step 6: Final answer
    x = 449,064.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.