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Finding the Fourth Proportional to 414,084.80, 621,127.20 and 414,084.80

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Solution

The fourth proportional to 414,084.80, 621,127.20 and 414,084.80 is: 621,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,084.80 : 621,127.20 = 414,084.80 : x
  2. Step 2: Convert to fraction form
    414,084.80/621,127.20 = 414,084.80/x
  3. Step 3: Cross multiply
    414,084.80x = 621,127.20 × 414,084.80
  4. Step 4: Simplify right side
    414,084.80x = 257,199,332,386.56
  5. Step 5: Solve for x
    x = 257,199,332,386.56/414,084.80
  6. Step 6: Final answer
    x = 621,127.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.