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Finding the Fourth Proportional to 429,052.80, 643,287.60 and 162,773.40

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Solution

The fourth proportional to 429,052.80, 643,287.60 and 162,773.40 is: 244,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,052.80 : 643,287.60 = 162,773.40 : x
  2. Step 2: Convert to fraction form
    429,052.80/643,287.60 = 162,773.40/x
  3. Step 3: Cross multiply
    429,052.80x = 643,287.60 × 162,773.40
  4. Step 4: Simplify right side
    429,052.80x = 104,710,109,829.84
  5. Step 5: Solve for x
    x = 104,710,109,829.84/429,052.80
  6. Step 6: Final answer
    x = 244,049.47

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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.