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Finding the Fourth Proportional to 301,686.64, 416,314.10 and 180,894.60

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Solution

The fourth proportional to 301,686.64, 416,314.10 and 180,894.60 is: 249,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,686.64 : 416,314.10 = 180,894.60 : x
  2. Step 2: Convert to fraction form
    301,686.64/416,314.10 = 180,894.60/x
  3. Step 3: Cross multiply
    301,686.64x = 416,314.10 × 180,894.60
  4. Step 4: Simplify right side
    301,686.64x = 75,308,972,593.86
  5. Step 5: Solve for x
    x = 75,308,972,593.86/301,686.64
  6. Step 6: Final answer
    x = 249,626.48

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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.