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Finding the Fourth Proportional to 651,853.60, 978,217.80 and 296,684.80

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Solution

The fourth proportional to 651,853.60, 978,217.80 and 296,684.80 is: 445,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,853.60 : 978,217.80 = 296,684.80 : x
  2. Step 2: Convert to fraction form
    651,853.60/978,217.80 = 296,684.80/x
  3. Step 3: Cross multiply
    651,853.60x = 978,217.80 × 296,684.80
  4. Step 4: Simplify right side
    651,853.60x = 290,222,352,349.44
  5. Step 5: Solve for x
    x = 290,222,352,349.44/651,853.60
  6. Step 6: Final answer
    x = 445,226.28

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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.