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Finding the Fourth Proportional to 444,384.12, 666,645.30 and 148,827

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Solution

The fourth proportional to 444,384.12, 666,645.30 and 148,827 is: 223,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,384.12 : 666,645.30 = 148,827 : x
  2. Step 2: Convert to fraction form
    444,384.12/666,645.30 = 148,827/x
  3. Step 3: Cross multiply
    444,384.12x = 666,645.30 × 148,827
  4. Step 4: Simplify right side
    444,384.12x = 99,214,820,063.10
  5. Step 5: Solve for x
    x = 99,214,820,063.10/444,384.12
  6. Step 6: Final answer
    x = 223,263.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.