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Finding the Fourth Proportional to 384,084.57, 529,957.58 and 220,709.52

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Solution

The fourth proportional to 384,084.57, 529,957.58 and 220,709.52 is: 304,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,084.57 : 529,957.58 = 220,709.52 : x
  2. Step 2: Convert to fraction form
    384,084.57/529,957.58 = 220,709.52/x
  3. Step 3: Cross multiply
    384,084.57x = 529,957.58 × 220,709.52
  4. Step 4: Simplify right side
    384,084.57x = 116,966,683,653.94
  5. Step 5: Solve for x
    x = 116,966,683,653.94/384,084.57
  6. Step 6: Final answer
    x = 304,533.67

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Why These Related Problems?

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