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Finding the Fourth Proportional to 301,640.61, 416,217.72 and 174,291.60

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Solution

The fourth proportional to 301,640.61, 416,217.72 and 174,291.60 is: 240,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,640.61 : 416,217.72 = 174,291.60 : x
  2. Step 2: Convert to fraction form
    301,640.61/416,217.72 = 174,291.60/x
  3. Step 3: Cross multiply
    301,640.61x = 416,217.72 × 174,291.60
  4. Step 4: Simplify right side
    301,640.61x = 72,543,252,367.15
  5. Step 5: Solve for x
    x = 72,543,252,367.15/301,640.61
  6. Step 6: Final answer
    x = 240,495.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.