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Finding the Fourth Proportional to 518,797.85, 773,039.36 and 462,203.04

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Solution

The fourth proportional to 518,797.85, 773,039.36 and 462,203.04 is: 688,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,797.85 : 773,039.36 = 462,203.04 : x
  2. Step 2: Convert to fraction form
    518,797.85/773,039.36 = 462,203.04/x
  3. Step 3: Cross multiply
    518,797.85x = 773,039.36 × 462,203.04
  4. Step 4: Simplify right side
    518,797.85x = 357,301,146,286.06
  5. Step 5: Solve for x
    x = 357,301,146,286.06/518,797.85
  6. Step 6: Final answer
    x = 688,709.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.