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Finding the Fourth Proportional to 402,819.30, 603,710.55 and 308,859.30

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Solution

The fourth proportional to 402,819.30, 603,710.55 and 308,859.30 is: 462,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,819.30 : 603,710.55 = 308,859.30 : x
  2. Step 2: Convert to fraction form
    402,819.30/603,710.55 = 308,859.30/x
  3. Step 3: Cross multiply
    402,819.30x = 603,710.55 × 308,859.30
  4. Step 4: Simplify right side
    402,819.30x = 186,461,617,875.62
  5. Step 5: Solve for x
    x = 186,461,617,875.62/402,819.30
  6. Step 6: Final answer
    x = 462,891.47

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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.