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Finding the Fourth Proportional to 474,654.43, 712,055.61 and 159,037.53

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Solution

The fourth proportional to 474,654.43, 712,055.61 and 159,037.53 is: 238,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,654.43 : 712,055.61 = 159,037.53 : x
  2. Step 2: Convert to fraction form
    474,654.43/712,055.61 = 159,037.53/x
  3. Step 3: Cross multiply
    474,654.43x = 712,055.61 × 159,037.53
  4. Step 4: Simplify right side
    474,654.43x = 113,243,562,766.84
  5. Step 5: Solve for x
    x = 113,243,562,766.84/474,654.43
  6. Step 6: Final answer
    x = 238,581.07

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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.