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Finding the Fourth Proportional to 428,854.40, 643,281.60 and 421,481.60

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Solution

The fourth proportional to 428,854.40, 643,281.60 and 421,481.60 is: 632,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,854.40 : 643,281.60 = 421,481.60 : x
  2. Step 2: Convert to fraction form
    428,854.40/643,281.60 = 421,481.60/x
  3. Step 3: Cross multiply
    428,854.40x = 643,281.60 × 421,481.60
  4. Step 4: Simplify right side
    428,854.40x = 271,131,358,018.56
  5. Step 5: Solve for x
    x = 271,131,358,018.56/428,854.40
  6. Step 6: Final answer
    x = 632,222.40

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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.