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Finding the Fourth Proportional to 414,006.40, 621,009.60 and 410,069.80

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Solution

The fourth proportional to 414,006.40, 621,009.60 and 410,069.80 is: 615,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,006.40 : 621,009.60 = 410,069.80 : x
  2. Step 2: Convert to fraction form
    414,006.40/621,009.60 = 410,069.80/x
  3. Step 3: Cross multiply
    414,006.40x = 621,009.60 × 410,069.80
  4. Step 4: Simplify right side
    414,006.40x = 254,657,282,470.08
  5. Step 5: Solve for x
    x = 254,657,282,470.08/414,006.40
  6. Step 6: Final answer
    x = 615,104.70

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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.