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Finding the Fourth Proportional to 519,082.90, 778,478.55 and 164,205.70

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Solution

The fourth proportional to 519,082.90, 778,478.55 and 164,205.70 is: 246,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,082.90 : 778,478.55 = 164,205.70 : x
  2. Step 2: Convert to fraction form
    519,082.90/778,478.55 = 164,205.70/x
  3. Step 3: Cross multiply
    519,082.90x = 778,478.55 × 164,205.70
  4. Step 4: Simplify right side
    519,082.90x = 127,830,615,237.74
  5. Step 5: Solve for x
    x = 127,830,615,237.74/519,082.90
  6. Step 6: Final answer
    x = 246,262.43

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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.