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Finding the Fourth Proportional to 470,417.10, 649,231.25 and 279,431.25

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Solution

The fourth proportional to 470,417.10, 649,231.25 and 279,431.25 is: 385,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,417.10 : 649,231.25 = 279,431.25 : x
  2. Step 2: Convert to fraction form
    470,417.10/649,231.25 = 279,431.25/x
  3. Step 3: Cross multiply
    470,417.10x = 649,231.25 × 279,431.25
  4. Step 4: Simplify right side
    470,417.10x = 181,415,498,329.41
  5. Step 5: Solve for x
    x = 181,415,498,329.41/470,417.10
  6. Step 6: Final answer
    x = 385,648.18

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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.