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Finding the Fourth Proportional to 301,651.47, 416,284.02 and 165,697.98

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Solution

The fourth proportional to 301,651.47, 416,284.02 and 165,697.98 is: 228,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,651.47 : 416,284.02 = 165,697.98 : x
  2. Step 2: Convert to fraction form
    301,651.47/416,284.02 = 165,697.98/x
  3. Step 3: Cross multiply
    301,651.47x = 416,284.02 × 165,697.98
  4. Step 4: Simplify right side
    301,651.47x = 68,977,421,220.28
  5. Step 5: Solve for x
    x = 68,977,421,220.28/301,651.47
  6. Step 6: Final answer
    x = 228,665.95

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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.