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Finding the Fourth Proportional to 301,709.64, 416,345.76 and 180,917.64

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Solution

The fourth proportional to 301,709.64, 416,345.76 and 180,917.64 is: 249,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,709.64 : 416,345.76 = 180,917.64 : x
  2. Step 2: Convert to fraction form
    301,709.64/416,345.76 = 180,917.64/x
  3. Step 3: Cross multiply
    301,709.64x = 416,345.76 × 180,917.64
  4. Step 4: Simplify right side
    301,709.64x = 75,324,292,323.21
  5. Step 5: Solve for x
    x = 75,324,292,323.21/301,709.64
  6. Step 6: Final answer
    x = 249,658.22

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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.