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Finding the Fourth Proportional to 501,847.10, 752,843.55 and 164,830.40

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Solution

The fourth proportional to 501,847.10, 752,843.55 and 164,830.40 is: 247,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,847.10 : 752,843.55 = 164,830.40 : x
  2. Step 2: Convert to fraction form
    501,847.10/752,843.55 = 164,830.40/x
  3. Step 3: Cross multiply
    501,847.10x = 752,843.55 × 164,830.40
  4. Step 4: Simplify right side
    501,847.10x = 124,091,503,483.92
  5. Step 5: Solve for x
    x = 124,091,503,483.92/501,847.10
  6. Step 6: Final answer
    x = 247,269.54

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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.