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Finding the Fourth Proportional to 429,154.80, 643,271.40 and 162,812.40

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Solution

The fourth proportional to 429,154.80, 643,271.40 and 162,812.40 is: 244,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,154.80 : 643,271.40 = 162,812.40 : x
  2. Step 2: Convert to fraction form
    429,154.80/643,271.40 = 162,812.40/x
  3. Step 3: Cross multiply
    429,154.80x = 643,271.40 × 162,812.40
  4. Step 4: Simplify right side
    429,154.80x = 104,732,560,485.36
  5. Step 5: Solve for x
    x = 104,732,560,485.36/429,154.80
  6. Step 6: Final answer
    x = 244,043.78

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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.