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Finding the Fourth Proportional to 410,167.26, 614,365.15 and 400,128.93

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Solution

The fourth proportional to 410,167.26, 614,365.15 and 400,128.93 is: 599,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,167.26 : 614,365.15 = 400,128.93 : x
  2. Step 2: Convert to fraction form
    410,167.26/614,365.15 = 400,128.93/x
  3. Step 3: Cross multiply
    410,167.26x = 614,365.15 × 400,128.93
  4. Step 4: Simplify right side
    410,167.26x = 245,825,269,098.47
  5. Step 5: Solve for x
    x = 245,825,269,098.47/410,167.26
  6. Step 6: Final answer
    x = 599,329.33

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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.