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Finding the Fourth Proportional to 769,569.20, 1,153,347.15 and 413,817.20

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Solution

The fourth proportional to 769,569.20, 1,153,347.15 and 413,817.20 is: 620,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,569.20 : 1,153,347.15 = 413,817.20 : x
  2. Step 2: Convert to fraction form
    769,569.20/1,153,347.15 = 413,817.20/x
  3. Step 3: Cross multiply
    769,569.20x = 1,153,347.15 × 413,817.20
  4. Step 4: Simplify right side
    769,569.20x = 477,274,888,240.98
  5. Step 5: Solve for x
    x = 477,274,888,240.98/769,569.20
  6. Step 6: Final answer
    x = 620,184.50

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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.