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Finding the Fourth Proportional to 474,817.56, 712,333.04 and 159,266.40

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Solution

The fourth proportional to 474,817.56, 712,333.04 and 159,266.40 is: 238,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,817.56 : 712,333.04 = 159,266.40 : x
  2. Step 2: Convert to fraction form
    474,817.56/712,333.04 = 159,266.40/x
  3. Step 3: Cross multiply
    474,817.56x = 712,333.04 × 159,266.40
  4. Step 4: Simplify right side
    474,817.56x = 113,450,718,881.86
  5. Step 5: Solve for x
    x = 113,450,718,881.86/474,817.56
  6. Step 6: Final answer
    x = 238,935.39

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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.