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Finding the Fourth Proportional to 468,261.50, 646,200.86 and 253,401.54

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Solution

The fourth proportional to 468,261.50, 646,200.86 and 253,401.54 is: 349,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,261.50 : 646,200.86 = 253,401.54 : x
  2. Step 2: Convert to fraction form
    468,261.50/646,200.86 = 253,401.54/x
  3. Step 3: Cross multiply
    468,261.50x = 646,200.86 × 253,401.54
  4. Step 4: Simplify right side
    468,261.50x = 163,748,291,806.32
  5. Step 5: Solve for x
    x = 163,748,291,806.32/468,261.50
  6. Step 6: Final answer
    x = 349,694.12

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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.