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Finding the Fourth Proportional to 564,661, 846,991.50 and 170,677

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Solution

The fourth proportional to 564,661, 846,991.50 and 170,677 is: 256,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,661 : 846,991.50 = 170,677 : x
  2. Step 2: Convert to fraction form
    564,661/846,991.50 = 170,677/x
  3. Step 3: Cross multiply
    564,661x = 846,991.50 × 170,677
  4. Step 4: Simplify right side
    564,661x = 144,561,968,245.50
  5. Step 5: Solve for x
    x = 144,561,968,245.50/564,661
  6. Step 6: Final answer
    x = 256,015.50

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1.5x scale

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.