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Finding the Fourth Proportional to 413,621.20, 620,577.60 and 399,041.20

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Solution

The fourth proportional to 413,621.20, 620,577.60 and 399,041.20 is: 598,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,621.20 : 620,577.60 = 399,041.20 : x
  2. Step 2: Convert to fraction form
    413,621.20/620,577.60 = 399,041.20/x
  3. Step 3: Cross multiply
    413,621.20x = 620,577.60 × 399,041.20
  4. Step 4: Simplify right side
    413,621.20x = 247,636,030,197.12
  5. Step 5: Solve for x
    x = 247,636,030,197.12/413,621.20
  6. Step 6: Final answer
    x = 598,702.46

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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.