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Finding the Fourth Proportional to 465,612.80, 697,958.40 and 228,761.60

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Solution

The fourth proportional to 465,612.80, 697,958.40 and 228,761.60 is: 342,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,612.80 : 697,958.40 = 228,761.60 : x
  2. Step 2: Convert to fraction form
    465,612.80/697,958.40 = 228,761.60/x
  3. Step 3: Cross multiply
    465,612.80x = 697,958.40 × 228,761.60
  4. Step 4: Simplify right side
    465,612.80x = 159,666,080,317.44
  5. Step 5: Solve for x
    x = 159,666,080,317.44/465,612.80
  6. Step 6: Final answer
    x = 342,916.00

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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.