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Finding the Fourth Proportional to 698,723.63, 964,970.51 and 481,497.12

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Solution

The fourth proportional to 698,723.63, 964,970.51 and 481,497.12 is: 664,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,723.63 : 964,970.51 = 481,497.12 : x
  2. Step 2: Convert to fraction form
    698,723.63/964,970.51 = 481,497.12/x
  3. Step 3: Cross multiply
    698,723.63x = 964,970.51 × 481,497.12
  4. Step 4: Simplify right side
    698,723.63x = 464,630,515,423.81
  5. Step 5: Solve for x
    x = 464,630,515,423.81/698,723.63
  6. Step 6: Final answer
    x = 664,970.38

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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.