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Finding the Fourth Proportional to 469,884.31, 648,440.70 and 255,024.32

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Solution

The fourth proportional to 469,884.31, 648,440.70 and 255,024.32 is: 351,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,884.31 : 648,440.70 = 255,024.32 : x
  2. Step 2: Convert to fraction form
    469,884.31/648,440.70 = 255,024.32/x
  3. Step 3: Cross multiply
    469,884.31x = 648,440.70 × 255,024.32
  4. Step 4: Simplify right side
    469,884.31x = 165,368,146,920.28
  5. Step 5: Solve for x
    x = 165,368,146,920.28/469,884.31
  6. Step 6: Final answer
    x = 351,933.75

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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.