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Finding the Fourth Proportional to 410,165.83, 614,363.00 and 400,127.50

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Solution

The fourth proportional to 410,165.83, 614,363.00 and 400,127.50 is: 599,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,165.83 : 614,363.00 = 400,127.50 : x
  2. Step 2: Convert to fraction form
    410,165.83/614,363.00 = 400,127.50/x
  3. Step 3: Cross multiply
    410,165.83x = 614,363.00 × 400,127.50
  4. Step 4: Simplify right side
    410,165.83x = 245,823,529,970.10
  5. Step 5: Solve for x
    x = 245,823,529,970.10/410,165.83
  6. Step 6: Final answer
    x = 599,327.19

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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.