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Finding the Fourth Proportional to 442,418.88, 663,035.52 and 414,075.84

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Solution

The fourth proportional to 442,418.88, 663,035.52 and 414,075.84 is: 620,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,418.88 : 663,035.52 = 414,075.84 : x
  2. Step 2: Convert to fraction form
    442,418.88/663,035.52 = 414,075.84/x
  3. Step 3: Cross multiply
    442,418.88x = 663,035.52 × 414,075.84
  4. Step 4: Simplify right side
    442,418.88x = 274,546,989,893.84
  5. Step 5: Solve for x
    x = 274,546,989,893.84/442,418.88
  6. Step 6: Final answer
    x = 620,558.94

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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.