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Finding the Fourth Proportional to 301,252.68, 415,732.86 and 165,284.10

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Solution

The fourth proportional to 301,252.68, 415,732.86 and 165,284.10 is: 228,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,252.68 : 415,732.86 = 165,284.10 : x
  2. Step 2: Convert to fraction form
    301,252.68/415,732.86 = 165,284.10/x
  3. Step 3: Cross multiply
    301,252.68x = 415,732.86 × 165,284.10
  4. Step 4: Simplify right side
    301,252.68x = 68,714,031,605.53
  5. Step 5: Solve for x
    x = 68,714,031,605.53/301,252.68
  6. Step 6: Final answer
    x = 228,094.34

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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.