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Finding the Fourth Proportional to 301,651.62, 416,282.66 and 165,688.76

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Solution

The fourth proportional to 301,651.62, 416,282.66 and 165,688.76 is: 228,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,651.62 : 416,282.66 = 165,688.76 : x
  2. Step 2: Convert to fraction form
    301,651.62/416,282.66 = 165,688.76/x
  3. Step 3: Cross multiply
    301,651.62x = 416,282.66 × 165,688.76
  4. Step 4: Simplify right side
    301,651.62x = 68,973,357,744.90
  5. Step 5: Solve for x
    x = 68,973,357,744.90/301,651.62
  6. Step 6: Final answer
    x = 228,652.37

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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.