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Finding the Fourth Proportional to 490,855.20, 736,282.80 and 402,208.80

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Solution

The fourth proportional to 490,855.20, 736,282.80 and 402,208.80 is: 603,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,855.20 : 736,282.80 = 402,208.80 : x
  2. Step 2: Convert to fraction form
    490,855.20/736,282.80 = 402,208.80/x
  3. Step 3: Cross multiply
    490,855.20x = 736,282.80 × 402,208.80
  4. Step 4: Simplify right side
    490,855.20x = 296,139,421,448.64
  5. Step 5: Solve for x
    x = 296,139,421,448.64/490,855.20
  6. Step 6: Final answer
    x = 603,313.20

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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.