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Finding the Fourth Proportional to 468,114.72, 646,002.99 and 253,259.41

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Solution

The fourth proportional to 468,114.72, 646,002.99 and 253,259.41 is: 349,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,114.72 : 646,002.99 = 253,259.41 : x
  2. Step 2: Convert to fraction form
    468,114.72/646,002.99 = 253,259.41/x
  3. Step 3: Cross multiply
    468,114.72x = 646,002.99 × 253,259.41
  4. Step 4: Simplify right side
    468,114.72x = 163,606,336,105.64
  5. Step 5: Solve for x
    x = 163,606,336,105.64/468,114.72
  6. Step 6: Final answer
    x = 349,500.52

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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.