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Finding the Fourth Proportional to 472,092.04, 651,478.76 and 257,233.88

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Solution

The fourth proportional to 472,092.04, 651,478.76 and 257,233.88 is: 354,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,092.04 : 651,478.76 = 257,233.88 : x
  2. Step 2: Convert to fraction form
    472,092.04/651,478.76 = 257,233.88/x
  3. Step 3: Cross multiply
    472,092.04x = 651,478.76 × 257,233.88
  4. Step 4: Simplify right side
    472,092.04x = 167,582,409,172.39
  5. Step 5: Solve for x
    x = 167,582,409,172.39/472,092.04
  6. Step 6: Final answer
    x = 354,978.26

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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.