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Finding the Fourth Proportional to 461,967.70, 637,473.94 and 257,990.31

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Solution

The fourth proportional to 461,967.70, 637,473.94 and 257,990.31 is: 356,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,967.70 : 637,473.94 = 257,990.31 : x
  2. Step 2: Convert to fraction form
    461,967.70/637,473.94 = 257,990.31/x
  3. Step 3: Cross multiply
    461,967.70x = 637,473.94 × 257,990.31
  4. Step 4: Simplify right side
    461,967.70x = 164,462,097,941.53
  5. Step 5: Solve for x
    x = 164,462,097,941.53/461,967.70
  6. Step 6: Final answer
    x = 356,003.46

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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.