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Finding the Fourth Proportional to 410,543.60, 614,778.60 and 269,538.80

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Solution

The fourth proportional to 410,543.60, 614,778.60 and 269,538.80 is: 403,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,543.60 : 614,778.60 = 269,538.80 : x
  2. Step 2: Convert to fraction form
    410,543.60/614,778.60 = 269,538.80/x
  3. Step 3: Cross multiply
    410,543.60x = 614,778.60 × 269,538.80
  4. Step 4: Simplify right side
    410,543.60x = 165,706,686,109.68
  5. Step 5: Solve for x
    x = 165,706,686,109.68/410,543.60
  6. Step 6: Final answer
    x = 403,627.50

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1.5x scale

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.