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Finding the Fourth Proportional to 402,426.80, 603,640.20 and 356,937.20

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Solution

The fourth proportional to 402,426.80, 603,640.20 and 356,937.20 is: 535,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,426.80 : 603,640.20 = 356,937.20 : x
  2. Step 2: Convert to fraction form
    402,426.80/603,640.20 = 356,937.20/x
  3. Step 3: Cross multiply
    402,426.80x = 603,640.20 × 356,937.20
  4. Step 4: Simplify right side
    402,426.80x = 215,461,642,795.44
  5. Step 5: Solve for x
    x = 215,461,642,795.44/402,426.80
  6. Step 6: Final answer
    x = 535,405.80

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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.