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Finding the Fourth Proportional to 358,458, 494,614.14 and 205,468.02

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Solution

The fourth proportional to 358,458, 494,614.14 and 205,468.02 is: 283,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,458 : 494,614.14 = 205,468.02 : x
  2. Step 2: Convert to fraction form
    358,458/494,614.14 = 205,468.02/x
  3. Step 3: Cross multiply
    358,458x = 494,614.14 × 205,468.02
  4. Step 4: Simplify right side
    358,458x = 101,627,388,009.80
  5. Step 5: Solve for x
    x = 101,627,388,009.80/358,458
  6. Step 6: Final answer
    x = 283,512.68

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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.