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Finding the Fourth Proportional to 470,699.18, 649,568.86 and 255,839.22

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Solution

The fourth proportional to 470,699.18, 649,568.86 and 255,839.22 is: 353,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,699.18 : 649,568.86 = 255,839.22 : x
  2. Step 2: Convert to fraction form
    470,699.18/649,568.86 = 255,839.22/x
  3. Step 3: Cross multiply
    470,699.18x = 649,568.86 × 255,839.22
  4. Step 4: Simplify right side
    470,699.18x = 166,185,190,478.69
  5. Step 5: Solve for x
    x = 166,185,190,478.69/470,699.18
  6. Step 6: Final answer
    x = 353,060.29

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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.