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Finding the Fourth Proportional to 468,264.35, 646,206.42 and 253,404.36

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Solution

The fourth proportional to 468,264.35, 646,206.42 and 253,404.36 is: 349,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,264.35 : 646,206.42 = 253,404.36 : x
  2. Step 2: Convert to fraction form
    468,264.35/646,206.42 = 253,404.36/x
  3. Step 3: Cross multiply
    468,264.35x = 646,206.42 × 253,404.36
  4. Step 4: Simplify right side
    468,264.35x = 163,751,524,287.99
  5. Step 5: Solve for x
    x = 163,751,524,287.99/468,264.35
  6. Step 6: Final answer
    x = 349,698.90

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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.