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Finding the Fourth Proportional to 301,758.60, 416,253.68 and 188,384.52

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Solution

The fourth proportional to 301,758.60, 416,253.68 and 188,384.52 is: 259,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,758.60 : 416,253.68 = 188,384.52 : x
  2. Step 2: Convert to fraction form
    301,758.60/416,253.68 = 188,384.52/x
  3. Step 3: Cross multiply
    301,758.60x = 416,253.68 × 188,384.52
  4. Step 4: Simplify right side
    301,758.60x = 78,415,749,748.74
  5. Step 5: Solve for x
    x = 78,415,749,748.74/301,758.60
  6. Step 6: Final answer
    x = 259,862.52

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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.