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Finding the Fourth Proportional to 410,169.84, 614,369 and 400,131.50

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Solution

The fourth proportional to 410,169.84, 614,369 and 400,131.50 is: 599,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,169.84 : 614,369 = 400,131.50 : x
  2. Step 2: Convert to fraction form
    410,169.84/614,369 = 400,131.50/x
  3. Step 3: Cross multiply
    410,169.84x = 614,369 × 400,131.50
  4. Step 4: Simplify right side
    410,169.84x = 245,828,389,523.50
  5. Step 5: Solve for x
    x = 245,828,389,523.50/410,169.84
  6. Step 6: Final answer
    x = 599,333.17

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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.