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Finding the Fourth Proportional to 972,016.80, 1,457,830.80 and 466,576.80

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Solution

The fourth proportional to 972,016.80, 1,457,830.80 and 466,576.80 is: 699,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,016.80 : 1,457,830.80 = 466,576.80 : x
  2. Step 2: Convert to fraction form
    972,016.80/1,457,830.80 = 466,576.80/x
  3. Step 3: Cross multiply
    972,016.80x = 1,457,830.80 × 466,576.80
  4. Step 4: Simplify right side
    972,016.80x = 680,190,029,605.44
  5. Step 5: Solve for x
    x = 680,190,029,605.44/972,016.80
  6. Step 6: Final answer
    x = 699,771.89

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Why These Related Problems?

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