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Finding the Fourth Proportional to 301,686.90, 416,330.64 and 165,723.60

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Solution

The fourth proportional to 301,686.90, 416,330.64 and 165,723.60 is: 228,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,686.90 : 416,330.64 = 165,723.60 : x
  2. Step 2: Convert to fraction form
    301,686.90/416,330.64 = 165,723.60/x
  3. Step 3: Cross multiply
    301,686.90x = 416,330.64 × 165,723.60
  4. Step 4: Simplify right side
    301,686.90x = 68,995,812,451.10
  5. Step 5: Solve for x
    x = 68,995,812,451.10/301,686.90
  6. Step 6: Final answer
    x = 228,700.06

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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.