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Finding the Fourth Proportional to 414,374.10, 621,323.01 and 201,068.70

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Solution

The fourth proportional to 414,374.10, 621,323.01 and 201,068.70 is: 301,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,374.10 : 621,323.01 = 201,068.70 : x
  2. Step 2: Convert to fraction form
    414,374.10/621,323.01 = 201,068.70/x
  3. Step 3: Cross multiply
    414,374.10x = 621,323.01 × 201,068.70
  4. Step 4: Simplify right side
    414,374.10x = 124,928,609,900.79
  5. Step 5: Solve for x
    x = 124,928,609,900.79/414,374.10
  6. Step 6: Final answer
    x = 301,487.50

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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.