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Finding the Fourth Proportional to 428,903.30, 643,160.55 and 162,575.30

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Solution

The fourth proportional to 428,903.30, 643,160.55 and 162,575.30 is: 243,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,903.30 : 643,160.55 = 162,575.30 : x
  2. Step 2: Convert to fraction form
    428,903.30/643,160.55 = 162,575.30/x
  3. Step 3: Cross multiply
    428,903.30x = 643,160.55 × 162,575.30
  4. Step 4: Simplify right side
    428,903.30x = 104,562,019,364.42
  5. Step 5: Solve for x
    x = 104,562,019,364.42/428,903.30
  6. Step 6: Final answer
    x = 243,789.26

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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.