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Finding the Fourth Proportional to 301,857.64, 416,565.54 and 188,746.60

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Solution

The fourth proportional to 301,857.64, 416,565.54 and 188,746.60 is: 260,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,857.64 : 416,565.54 = 188,746.60 : x
  2. Step 2: Convert to fraction form
    301,857.64/416,565.54 = 188,746.60/x
  3. Step 3: Cross multiply
    301,857.64x = 416,565.54 × 188,746.60
  4. Step 4: Simplify right side
    301,857.64x = 78,625,329,352.16
  5. Step 5: Solve for x
    x = 78,625,329,352.16/301,857.64
  6. Step 6: Final answer
    x = 260,471.56

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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.