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Finding the Fourth Proportional to 301,841.92, 416,544.32 and 188,730.24

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Solution

The fourth proportional to 301,841.92, 416,544.32 and 188,730.24 is: 260,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,841.92 : 416,544.32 = 188,730.24 : x
  2. Step 2: Convert to fraction form
    301,841.92/416,544.32 = 188,730.24/x
  3. Step 3: Cross multiply
    301,841.92x = 416,544.32 × 188,730.24
  4. Step 4: Simplify right side
    301,841.92x = 78,614,509,484.24
  5. Step 5: Solve for x
    x = 78,614,509,484.24/301,841.92
  6. Step 6: Final answer
    x = 260,449.28

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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.