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Finding the Fourth Proportional to 463,951.40, 695,927.10 and 164,429.60

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Solution

The fourth proportional to 463,951.40, 695,927.10 and 164,429.60 is: 246,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,951.40 : 695,927.10 = 164,429.60 : x
  2. Step 2: Convert to fraction form
    463,951.40/695,927.10 = 164,429.60/x
  3. Step 3: Cross multiply
    463,951.40x = 695,927.10 × 164,429.60
  4. Step 4: Simplify right side
    463,951.40x = 114,431,014,682.16
  5. Step 5: Solve for x
    x = 114,431,014,682.16/463,951.40
  6. Step 6: Final answer
    x = 246,644.40

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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.