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Finding the Fourth Proportional to 354,192.32, 530,998.80 and 164,770.76

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Solution

The fourth proportional to 354,192.32, 530,998.80 and 164,770.76 is: 247,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,192.32 : 530,998.80 = 164,770.76 : x
  2. Step 2: Convert to fraction form
    354,192.32/530,998.80 = 164,770.76/x
  3. Step 3: Cross multiply
    354,192.32x = 530,998.80 × 164,770.76
  4. Step 4: Simplify right side
    354,192.32x = 87,493,075,835.09
  5. Step 5: Solve for x
    x = 87,493,075,835.09/354,192.32
  6. Step 6: Final answer
    x = 247,021.38

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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.