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Finding the Fourth Proportional to 468,293.49, 646,245.01 and 253,433.55

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Solution

The fourth proportional to 468,293.49, 646,245.01 and 253,433.55 is: 349,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,293.49 : 646,245.01 = 253,433.55 : x
  2. Step 2: Convert to fraction form
    468,293.49/646,245.01 = 253,433.55/x
  3. Step 3: Cross multiply
    468,293.49x = 646,245.01 × 253,433.55
  4. Step 4: Simplify right side
    468,293.49x = 163,780,169,081.51
  5. Step 5: Solve for x
    x = 163,780,169,081.51/468,293.49
  6. Step 6: Final answer
    x = 349,738.30

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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.