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Finding the Fourth Proportional to 294,924.60, 407,011.50 and 160,797.24

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Solution

The fourth proportional to 294,924.60, 407,011.50 and 160,797.24 is: 221,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,924.60 : 407,011.50 = 160,797.24 : x
  2. Step 2: Convert to fraction form
    294,924.60/407,011.50 = 160,797.24/x
  3. Step 3: Cross multiply
    294,924.60x = 407,011.50 × 160,797.24
  4. Step 4: Simplify right side
    294,924.60x = 65,446,325,848.26
  5. Step 5: Solve for x
    x = 65,446,325,848.26/294,924.60
  6. Step 6: Final answer
    x = 221,908.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.