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Finding the Fourth Proportional to 468,205.35, 646,121.30 and 253,349.20

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Solution

The fourth proportional to 468,205.35, 646,121.30 and 253,349.20 is: 349,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,205.35 : 646,121.30 = 253,349.20 : x
  2. Step 2: Convert to fraction form
    468,205.35/646,121.30 = 253,349.20/x
  3. Step 3: Cross multiply
    468,205.35x = 646,121.30 × 253,349.20
  4. Step 4: Simplify right side
    468,205.35x = 163,694,314,457.96
  5. Step 5: Solve for x
    x = 163,694,314,457.96/468,205.35
  6. Step 6: Final answer
    x = 349,620.77

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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.