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Finding the Fourth Proportional to 466,576, 699,967.68 and 171,088

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Solution

The fourth proportional to 466,576, 699,967.68 and 171,088 is: 256,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,576 : 699,967.68 = 171,088 : x
  2. Step 2: Convert to fraction form
    466,576/699,967.68 = 171,088/x
  3. Step 3: Cross multiply
    466,576x = 699,967.68 × 171,088
  4. Step 4: Simplify right side
    466,576x = 119,756,070,435.84
  5. Step 5: Solve for x
    x = 119,756,070,435.84/466,576
  6. Step 6: Final answer
    x = 256,670.02

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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.