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Finding the Fourth Proportional to 452,477.60, 678,803.84 and 171,972.96

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Solution

The fourth proportional to 452,477.60, 678,803.84 and 171,972.96 is: 257,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,477.60 : 678,803.84 = 171,972.96 : x
  2. Step 2: Convert to fraction form
    452,477.60/678,803.84 = 171,972.96/x
  3. Step 3: Cross multiply
    452,477.60x = 678,803.84 × 171,972.96
  4. Step 4: Simplify right side
    452,477.60x = 116,735,905,624.17
  5. Step 5: Solve for x
    x = 116,735,905,624.17/452,477.60
  6. Step 6: Final answer
    x = 257,992.67

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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.