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Finding the Fourth Proportional to 414,551.80, 621,827.70 and 134,097.40

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Solution

The fourth proportional to 414,551.80, 621,827.70 and 134,097.40 is: 201,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,551.80 : 621,827.70 = 134,097.40 : x
  2. Step 2: Convert to fraction form
    414,551.80/621,827.70 = 134,097.40/x
  3. Step 3: Cross multiply
    414,551.80x = 621,827.70 × 134,097.40
  4. Step 4: Simplify right side
    414,551.80x = 83,385,477,817.98
  5. Step 5: Solve for x
    x = 83,385,477,817.98/414,551.80
  6. Step 6: Final answer
    x = 201,146.10

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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.