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Finding the Fourth Proportional to 464,474.12, 696,447.66 and 424,846.76

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Solution

The fourth proportional to 464,474.12, 696,447.66 and 424,846.76 is: 637,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,474.12 : 696,447.66 = 424,846.76 : x
  2. Step 2: Convert to fraction form
    464,474.12/696,447.66 = 424,846.76/x
  3. Step 3: Cross multiply
    464,474.12x = 696,447.66 × 424,846.76
  4. Step 4: Simplify right side
    464,474.12x = 295,883,531,860.58
  5. Step 5: Solve for x
    x = 295,883,531,860.58/464,474.12
  6. Step 6: Final answer
    x = 637,029.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.