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Finding the Fourth Proportional to 410,301.60, 614,415.60 and 269,296.80

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Solution

The fourth proportional to 410,301.60, 614,415.60 and 269,296.80 is: 403,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,301.60 : 614,415.60 = 269,296.80 : x
  2. Step 2: Convert to fraction form
    410,301.60/614,415.60 = 269,296.80/x
  3. Step 3: Cross multiply
    410,301.60x = 614,415.60 × 269,296.80
  4. Step 4: Simplify right side
    410,301.60x = 165,460,154,950.08
  5. Step 5: Solve for x
    x = 165,460,154,950.08/410,301.60
  6. Step 6: Final answer
    x = 403,264.71

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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.