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Finding the Fourth Proportional to 469,036.63, 647,493.70 and 314,254.43

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Solution

The fourth proportional to 469,036.63, 647,493.70 and 314,254.43 is: 433,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,036.63 : 647,493.70 = 314,254.43 : x
  2. Step 2: Convert to fraction form
    469,036.63/647,493.70 = 314,254.43/x
  3. Step 3: Cross multiply
    469,036.63x = 647,493.70 × 314,254.43
  4. Step 4: Simplify right side
    469,036.63x = 203,477,766,258.47
  5. Step 5: Solve for x
    x = 203,477,766,258.47/469,036.63
  6. Step 6: Final answer
    x = 433,820.63

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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.