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Finding the Fourth Proportional to 417,464.88, 575,721.36 and 353,069.04

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Solution

The fourth proportional to 417,464.88, 575,721.36 and 353,069.04 is: 486,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,464.88 : 575,721.36 = 353,069.04 : x
  2. Step 2: Convert to fraction form
    417,464.88/575,721.36 = 353,069.04/x
  3. Step 3: Cross multiply
    417,464.88x = 575,721.36 × 353,069.04
  4. Step 4: Simplify right side
    417,464.88x = 203,269,387,882.69
  5. Step 5: Solve for x
    x = 203,269,387,882.69/417,464.88
  6. Step 6: Final answer
    x = 486,913.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.