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Finding the Fourth Proportional to 548,869.90, 823,368.85 and 174,930.70

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Solution

The fourth proportional to 548,869.90, 823,368.85 and 174,930.70 is: 262,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,869.90 : 823,368.85 = 174,930.70 : x
  2. Step 2: Convert to fraction form
    548,869.90/823,368.85 = 174,930.70/x
  3. Step 3: Cross multiply
    548,869.90x = 823,368.85 × 174,930.70
  4. Step 4: Simplify right side
    548,869.90x = 144,032,489,288.70
  5. Step 5: Solve for x
    x = 144,032,489,288.70/548,869.90
  6. Step 6: Final answer
    x = 262,416.45

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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.