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Finding the Fourth Proportional to 519,114.90, 778,526.55 and 164,237.70

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Solution

The fourth proportional to 519,114.90, 778,526.55 and 164,237.70 is: 246,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,114.90 : 778,526.55 = 164,237.70 : x
  2. Step 2: Convert to fraction form
    519,114.90/778,526.55 = 164,237.70/x
  3. Step 3: Cross multiply
    519,114.90x = 778,526.55 × 164,237.70
  4. Step 4: Simplify right side
    519,114.90x = 127,863,409,960.94
  5. Step 5: Solve for x
    x = 127,863,409,960.94/519,114.90
  6. Step 6: Final answer
    x = 246,310.42

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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.