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Finding the Fourth Proportional to 428,595.84, 642,898.62 and 162,284.04

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Solution

The fourth proportional to 428,595.84, 642,898.62 and 162,284.04 is: 243,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,595.84 : 642,898.62 = 162,284.04 : x
  2. Step 2: Convert to fraction form
    428,595.84/642,898.62 = 162,284.04/x
  3. Step 3: Cross multiply
    428,595.84x = 642,898.62 × 162,284.04
  4. Step 4: Simplify right side
    428,595.84x = 104,332,185,364.03
  5. Step 5: Solve for x
    x = 104,332,185,364.03/428,595.84
  6. Step 6: Final answer
    x = 243,427.90

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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.