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Finding the Fourth Proportional to 475,589.31, 713,673.81 and 191,226.54

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Solution

The fourth proportional to 475,589.31, 713,673.81 and 191,226.54 is: 286,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,589.31 : 713,673.81 = 191,226.54 : x
  2. Step 2: Convert to fraction form
    475,589.31/713,673.81 = 191,226.54/x
  3. Step 3: Cross multiply
    475,589.31x = 713,673.81 × 191,226.54
  4. Step 4: Simplify right side
    475,589.31x = 136,473,373,374.92
  5. Step 5: Solve for x
    x = 136,473,373,374.92/475,589.31
  6. Step 6: Final answer
    x = 286,956.35

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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.