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Finding the Fourth Proportional to 456,217.40, 685,247.70 and 440,550.20

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Solution

The fourth proportional to 456,217.40, 685,247.70 and 440,550.20 is: 661,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,217.40 : 685,247.70 = 440,550.20 : x
  2. Step 2: Convert to fraction form
    456,217.40/685,247.70 = 440,550.20/x
  3. Step 3: Cross multiply
    456,217.40x = 685,247.70 × 440,550.20
  4. Step 4: Simplify right side
    456,217.40x = 301,886,011,284.54
  5. Step 5: Solve for x
    x = 301,886,011,284.54/456,217.40
  6. Step 6: Final answer
    x = 661,715.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.